Question

What is the square root of 52 simplified?

Answer 1

$\sqrt{52}$

Break  the number  to its  primes:

$52 = 2^2 *13$

$= \sqrt{2^2*13}$

Apply radical  rule : $\sqrt[n]{ab} = \sqrt[n]{a} \sqrt[n]{b}$

$= \sqrt{13} \sqrt{2^2}$

Apply radical rule : $\sqrt[n]{a^n} =a$

$\sqrt{2^2}=2$ 

therefore : $= 2 \sqrt{13}$

hope this helps!