Question

Simplify: $\sqrt{1764}-\sqrt{1444}$

Answer 1

Prime factors of $1764$ are

$1764=2\times 2\times 21\times 21$

so, $\sqrt{1764}=2\times 21=42$

Prime factors of $1444$ are ,

$1444=2\times 2\times 19\times 19$

so,

$\sqrt{1444}=2\times 19=38$

as per problem,

$\sqrt{1764}-\sqrt{1444}$ $=42-38$ $=4$