Question

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

Answer 1

Answer:

42

Step-by-step explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

$\sqrt{1764}$

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

= $\sqrt{2^{2} }$ × $\sqrt{3^{2} }$ × $\sqrt{7^{2} }$

= 2 × 3 × 7

= 42