324 can also be written as 2 ×2 ×3 × 3 × 3 ×3, Therefore, \[\sqrt{324}\] = \[\bar{2\ast2}\] \[\ast\] \[\bar{3\ast3}\] \[\ast\] \[\bar{3\ast3}\]. Tap for more steps... Rewrite as . Try to remember them up to 12. The two methods to determine the square root value of 144 are Prime Factorization Method and Long Division Method. There are two methods to determine the square root value of 144. The result can be shown in multiple forms. The square root of any natural number is a value that is represented in the form of x = \[\sqrt{b}\]. While -12 is "a square root" of 144, the square root operation here denotes a function from nonnegative real numbers to nonnegative real numbers. If two numbers are given, then the HCF (highest common factor ) will be the largest factor comprising both the numbers whereas the LCM (Least Common Multiple) will be the smallest common multiple existing in both the numbers. For example, 12 ×12= 144. Hence, it is concluded that the square root of any number is equal to a number which when multiplied by itself obtains back the original numbers. Square root calculator and perfect square calculator. A function can only produce a single result. The long division method of finding the square root is useful and the square root of any number can be found out speedily. It is written in the radical form as \[\sqrt{144}\] = 12. According to the equation given above, we can state that the square root of natural number 144 is  12. Therefore, the factors of 144 can be written as 2 ×2 × 2 × 2 × 3 × 3 × 1. Vedantu academic counsellor will be calling you shortly for your Online Counselling session. Any natural or whole numbers (excluding 0) when multiplied by any prime numbers give composite numbers. 144 is a perfect square, which means that you can simply calculate the square Root of 144 to get the answer. In Mathematics, the square root of 144 is a value which when multiplied by itself gives the result 144. Prime Factorization is a method of determining prime factors of a given number i.e the two prime numbers which when multiplied together give back an original number. In this article, we will learn both the methods that will help the students to find the square root of any numbers in a simpler and fastest way. Example: what is √10? It is easy to work out the square root of a perfect square, but it is really hard to work out other square roots. We call this the square root of 144 in radical form. On the other hand, 72 is a composite number that can easily be factored further. 1. In Mathematics, the square root of 144 is a value which when multiplied by itself gives the result 144. For example, 12 ×12= 144. By using this website, you agree to our Cookie Policy. Find the Square Root of 12544 Using the Long Division Method. 3. For example, 9, 36, 144 etc are  perfect squares. Free Square Roots calculator - Find square roots of any number step-by-step. In radical form, it is denoted as √144 = 12. Calculate the positive principal root and negative root of positive real numbers. √ 144 = q × q = q 2 Calculate the positive principal root and negative root of positive real numbers. Simplify the numerator. In this step, we will fix 2 with 2 and multiply the divisor 22 by 2 such as 22 × 2 to get the dividend 44. 12 times 12 equals 144. For example, 2 and 72 are two numbers which when multiplied together obtains the result 144. Square root of 144 is 12. The square root of 144 is a quantity (q) that when multiplied by itself will equal 144. Calculating Square Roots. 2. As we know, that 2 is the prime number which has two prime factors i.e, 2 and 1 and it cannot be factored further.

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