Question

Find the square root of 1764 using prime factorization with explanation and solution.

Answer 1

42

Explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

`√(1764)`

=
`\sqrt{2^(2)(3^(2) )(7^(2) ) }`

=
`\sqrt{2^(2) }` ×
`\sqrt{3^(2) }` ×
`\sqrt{7^(2) }`

= 2 × 3 × 7

= 42