Question

Evaluate √6084 by factorization method .

Answer 1

Express the given number as the product of prime factors.

Now, take the product of these prime factors choosing one out of every pair of the same primes. This product gives the square root of the given number.

Thus, resolving 6084 into prime factors, we get: 

6084 = 2² x 3² x 13² 

√6084 = (2 x 3 x 13) = 78.