Question

Combine the following expressions. 20y%5Csqrt%7B75%7D" id="TexFormula1" title="\sqrt{3y^2} + 4\sqrt{12y^2} - y\sqrt{75}" alt="\sqrt{3y^2} + 4\sqrt{12y^2} - y\sqrt{75}" align="absmiddle" class="latex-formula">

Answer 1

ANSWER

$12y \sqrt{3}$

EXPLANATION

The given expression is

$\sqrt{3y^2} + 4\sqrt{12y^2} - y\sqrt{75}$

We identity and remove the perfect squares to obtain

$y\sqrt{3} + 16y\sqrt{3} - 5y\sqrt{3}$

We now observe that, the three terms are all similar.

We combine the similar terms to get:

$y\sqrt{3} + 16y\sqrt{3} - 5y\sqrt{3} = 12y \sqrt{3}$