How To Solve Square Roots

How To Solve Square Roots If the index of a positive number x is half x then it is known as square root of x. How to solve square roots: - Question 1: - Find the square root of 384 (or 384) Steps Solution Step 1: - Try to factorize a 384 to their possible smallest value. 384 can be written as 384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 Step 2: - Choose the pair of numbers. There are three pairs of 2 and the remaining 2 unpaired numbers are 2 and 3 like, (2 x 2) x (2 x 2) x (2 x 2) x (2 x 3) Step 3: - Take out the pair of a number as a single number. 3 pair of 2 will come outside the square root and will be written as a single number. 2 x 2 x 2 x ( 2 x 3) Step4: - Multiply the numbers which is outside and inside the square root separately. 384 = 8 6 (since 2x2x2 =8 and 2 x 3 = 6) Therefore 384 = 8 6 Question 2: - Simplify 27 Solution: - 27 = (3 x 3 x 3) = 3 3 Therefore, 27 = 3 3. Question 3: - Simplify 64 Solution: - 64 = (2 x 2 x 2 x 2 x 2 x 2) = 2 x 2 x 2 = 8 Therefore 64 = 8