+2. This method is very useful and is the fastest method of all to find the root. Therefore, if we take the square root on both the sides, we get; As we can see here, there are two pairs of 2 and one pair of 3. Lv 5. The square root of -49 is an imaginary number, or if you are in lower math, just "no solutions". Comment; Complaint; Link; Know the Answer? We can also find the square root of any number using long division method. The square root of 144 is +/- 12. New questions in Mathematics. For example, the principal square root of 9 is 3, denoted √9 = 3, because 32 = 3 ^ 3 = 9 and 3 is non-negative. 144 is a perfect square, which means that you can simply calculate the square Root of 144 to get the answer. Simplifying radicals calculator will show you the step by step instructions on how to simplify a square root … The Work . In radical form, it is denoted as √144 = 12. Is the square root of 144 rational number? This method is easy to apply, as we have learned about prime factors in our earlier classes. The square root of 144 in mathematical form is written with the radical sign like this √144. Hence. 44, as dividend and add 1 to the divisor to get our next divisor, i.e. miltonmathteacher. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. Ask your question. Simplify Square Root Calculator to find the simpliest form square root of any number. The justification for taking out the square root of any number is this theorem to help simplify √a*b = √a * √b. Yes because the square root of 144 is 12 which is a rational The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. Ask your question. The square Root of 144 in its simplest form means to get the number 144 inside the radical √ as low as possible. The little check mark thing over 144 and also to negative 49. 12/13 or 0.923 We can write this as: sqrt(144/169) This is the same thing as taking the square root of the numerator and the denominator, then dividing: sqrt(144)/sqrt(169) Square root of 144=12 Square root of 169=13 =12/13 In decimals, it is: ~~0.923 Thus, we have our answer. 0. Your email address will not be published. Answers (1) Deyvi March 30, 1:40 PM. The square root of one hundred and forty-four √144 = 12. In prime factorisation, we have to find the prime factors in the given number. and it gives. 8 Answers. It can be used to find the root of imperfect squares and of large numbers, which is not possible in the case of prime factorisation. A whole number with a square root that is also a whole number is called a perfect square. The question is simplify each square root. The answer is pronounced five root three in proper form, so the answer is 12. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Required fields are marked *. Favorite Answer. Check out the work below for reducing 144 into simplest radical form . USING OUR SERVICES YOU AGREE TO OUR USE OF. To complete this part of the simplification we take the squre root of the factors which are to be extracted. Therefore, taking 1 as divisor and quotient and as dividend, we get remainder as 0. Online Calculators > Math Calculators > Simplify Square Root Calculator Simplify Square Root Calculator. The negative square root of -144 is -12i - that is -12 times the square root of minus 1, ie √-144 = 12√-1. Below are the steps for using the long division method. mjchey mjchey 12x12=144 the answer is 12. Hence, 12 x 12 = 144 or 12 2 = 144 Simplification of Square Root of 144 Thus, the square Root of 144 in simplest radical form is: 12 4. The only square root of zero is zero. The radicand no longer has any square factors. 144 = 2 4 • 3 2 To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent. Every non-negative real number a has a unique non-negative square root, called the principal square root, which is denoted by √a, where √ is called the radical sign or radix. We will learn both the methods here, which will help students to find the root of any number easily and in the fastest way. Square root of 144 simplified in radical form? Relevance. A square root of a number is a number that, when it is multiplied by itself (squared), gives the first number again. Answer. Online Calculators > Math Calculators > Simplify Square Root Calculator Simplify Square Root Calculator. Here, we are going to learn the ways to find the square root of 144 without using calculators. Simplifying radicals calculator will show you the step by step instructions on how to simplify a square root … Get an answer to your question "Square root of 144 simplified in radical form? Now, we will take down the other two numbers, i.e. Answer Save. The square root of 144 is a quantity (q) that when multiplied by itself will equal 144. Also, learn here about square root in a detailed way. In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. 1 and leave the rest two digits i.e. The radicand is the number or expression underneath the radical sign, in this example 9. To calculate the value to root 144 without using a calculator, there are two methods: one is the prime factorisation and another is the long division method. For example, 4 and -4 are square roots of 16 because 4² = (-4)² = 16. Find more answers. For example, 4 has two square roots: 2 and -2. Factors which will be extracted are : 144 = 2 4 • 3 2 No factors remain inside the root !! 12 is the correct answer to the square root of 144 simplified. Only numbers bigger than or equal to zero have real square roots. What is the Square Root of 144 in simplest radical form? Find more answers. Still have questions? But, it can only be used if a number is a perfect square. For example, 2 is the square root of 4, because 2x2=4. 1 decade ago. he wants to buy 2 pounds of hamburgers at $3 per pound, a bag of buns for $2, and 5 bags of chips for $4 each. 1, 4, 9, 16, 36, 144 Since 144 is on the list of perfect squares above, it means that 144 is a perfect square. The square root of one hundred and forty-four √144 = 12 How To Calculate Square Roots In mathematics, a square root of a number a is a number y such that y² = a, in other words, a number y whose square (the result of multiplying the number by itself, or y * y) is a. All radicals are now simplified. √144 =12 only, as √ means the (+) ve number that squares to give the given the previous number. We call this the square root of 144 in radical form. The term whose root is being considered is known as the radicand. As per the given expression above, we can define the square root of natural number 144, is a value which on multiplying by itself gives 144. Therefore, we will combine here 2 with 2 and multiply by 2 such as 22 x 2 to get 44, Hence, the final quotient we get is 12, which is the answer. The square root of 144 is 12, divided by 2 is 6.