# What is the square root of 50 in simplified radical form?

May 13, 2016

=color(blue)( 5 sqrt2

#### Explanation:

$\sqrt{50}$

We can simplify the expression by prime factorisation: ( expressing a number as a product of its prime factors)

$\sqrt{50} = \sqrt{2 \cdot 5 \cdot 5} = \sqrt{2 \cdot {5}^{2}}$

=color(blue)( 5 sqrt2