Simplify √48 48 - 9√3 9 3 + √75

Question 1 Report

Simplify $\sqrt{48}$ - $\frac{9}{\sqrt{3}}$ + $\sqrt{75}$

5√3

6√3

8√3

18√3

Answer Details

$\sqrt{48}$ - $\frac{9}{\sqrt{3}}$ + $\sqrt{75}$
Rearrange = $\sqrt{48}$ + $\sqrt{75}$ - $\frac{9}{\sqrt{3}}$
= (√16 x √3) + (√25 x √3) - $\frac{9}{\sqrt{3}}$
=4√3 + 5√3 - $\frac{9}{\sqrt{3}}$
Rationalize $\to$ 9√3 = $\frac{9}{\sqrt{3}}$ x $\frac{\sqrt{3}}{\sqrt{3}}$
= $\frac{9 \sqrt{3}}{\sqrt{9}}$ - $\frac{9 \sqrt{3}}{\sqrt{3}}$
= 3√3

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