Pro Lite, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. This website uses cookies to ensure you get the best experience. For example, 2 and 72 are two numbers which when multiplied together obtains the result 144. Pull terms out from under the radical, assuming positive real numbers. At the end, mention all the unique numbers that are obtained as factors. Hence, we get quotient as 12 and this will be our final answer. Now, we will carry forward the other two numbers i..e. 44. The square Root of 144 in its simplest form means to get the number 144 inside the radical √ as low as possible. 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. Learn more Accept. Sorry!, This page is not available for now to bookmark. The result can be shown in multiple forms. We can also write it as x² = b. 2. 2. Pro Lite, Vedantu 144 is a perfect square, which means that you can simply calculate the square Root of 144 to get the answer. Find the Square Root of 36 By the Prime Factorization Method. Well, 3 × 3 = 9 and 4 × 4 = 16, so we can guess the answer is between 3 and 4. We can see 2 pairs of 2 and 1 pair of 3 in the above given prime factors of 144. The number 44 will be considered as dividend and we will further add 1 to the divisor to get our next divisor i.e.1 + 1= 2. The different steps to calculate the factors of 144 are given below: Find any two numbers which when multiplied together obtains the original number 144. A square root of a number 'a' is a number x such that x 2 = a, in other words, a number x whose square is a. In Mathematics, the square root of 144 is a value which when multiplied by itself gives the result 144. 324 can also be written as 2 ×2 ×3 × 3 × 3 ×3, Therefore, \[\sqrt{324}\] = \[\bar{2\ast2}\] \[\ast\] \[\bar{3\ast3}\] \[\ast\] \[\bar{3\ast3}\]. This method can only be used if the number given is a perfect square. Also tells you if the entered number is a perfect square. For example, 12 ×12= 144. \[\sqrt{36}\] = \[\sqrt{(2 \times 2 \times 3 \times 3)}\]. For example, the prime factors of a number 126 will be 2, 3 ,and 7 as 2 × 3 × 7 = 126 and 2,3,and 7 are prime numbers. The symbol used to represent the square root is ‘\[\sqrt{}\]’.The symbol of square roots is also known as radical. The square root of 144 is a quantity (q) that when multiplied by itself will equal 144. 1. Hence, we can see the square root value of 144 is 12. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. On the other hand, 72 is a composite number that can easily be factored further. In radical form, it is denoted as √144 = 12. A function can only produce a single result. 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. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. The prime factorization method can easily be used as we have studied about prime factors in our previous classes. Omit the first digit i.e.1 and leave the remaining two digits i.e. There are two methods to determine the square root value of 144. The square root of any natural number is a value that is represented in the form of x = \[\sqrt{b}\]. By using this website, you agree to our Cookie Policy. Note a negative times a negative is a positive so -12 * -12 = 144. √ 144 = q × q = q 2 For Example, 5 × 5 = 25 and it can be said that the square root of a number 25 is 5. Hence, 72 can be factorized as 2 ×2× 2 × 3 × 3 × 1. Calculate the positive principal root and negative root of positive real numbers. 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. 12 times 12 equals 144. Mod the number 36 into prime factorization using the method of synthetic division. It implies that x is the square root of b , where b is any natural number. Any natural or whole numbers (excluding 0) when multiplied by any prime numbers give composite numbers. Square root calculator and perfect square calculator. Example: what is √10? It is a value which when multiplied by itself gives the number 144. 1. What are the Different Steps to Calculate the Factors of 144? Calculated using the long division method number 36 into prime Factorization is generally implemented on numbers! 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