Question

square root of 1296 using prime factorisation

Answer 1

square root of 1296 is 36

Answer 2

Given: A number 1296

To find: Square root of the given number using prime factorization method

Solution:

To find square root of any number using prime factorization method, first we need to express the number as the product of its prime factors and then multiply the numbers taken from each pair of equal prime factors.

Using prime factorization, the given number can be expressed as:

1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

Since, 1296 can be expressed as the product of pairs of equal prime factors, its square root will be-

$\sqrt{1296}$ = 2 × 2 × 3 × 3 (product of numbers taken from each pair of equal prime numbers)

          = 36

Hence, square root of 1296 is 36.