# How do you simplify 5sqrt37?

Jun 6, 2015

$5 \sqrt{37}$ has no further simplified form possible.

Reasons:

1. $37$ itself is not a square number.
2. $37$ is a prime number (no other positive divisor except $1$ and the number itself) and has no factors which is a square number, so nothing can be taken out of the root.
Jun 6, 2015

Manisit is correct that nothing can be taken out of the square root, but you can put something into the square root. Whether you think the result is simpler, I leave to you...

$5 \sqrt{37} = \sqrt{{5}^{2}} \cdot \sqrt{37} = \sqrt{{5}^{2} \cdot 37} = \sqrt{25 \cdot 37} = \sqrt{925}$

...using $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$