Home > Student Resources > Simplifying Square Roots

Simplifying Square Roots

Simplify $\sqrt{63}$ . Use factors to simplify.

$3\times 3=9$

$\sqrt{9}=3$

$\sqrt{63}=\sqrt{3\times 3\times 7}=\sqrt{3\times 3}\times\sqrt{7}=\sqrt{9}\times\sqrt{7}=3\times\sqrt{7}=3\sqrt{7}$