Mathematics Practice Tests – Surd

Hello and Welcome to Mathematics Practice Tests - Surd

1. You are to attempt 5 random objectives questions ONLY.
2. Supply Your Full Name and Location in the text box below and begin immediately.
3. You can attempt as many times as possible

Simplify: $\frac{10\sqrt{2}}{\sqrt{5}}$

A. $5\sqrt{10}$      B. $2\sqrt{10}$     C. $2\sqrt{2}$     D. $\frac{\sqrt{3}}{3}$

Simplify

$\left&space;[&space;\sqrt{2}&space;+&space;\frac{1}{\sqrt{3}}&space;\right&space;]\left&space;[&space;\sqrt{2}&space;-&space;\frac{1}{\sqrt{3}}&space;\right&space;]$

A. $\frac{7}{3}$     B. $\frac{5}{3}$     C. $\frac{5}{2}$     D. $\frac{3}{2}$

Rationalise

$\frac{2-\sqrt{5}}{3-\sqrt{5}}$

A. $\frac{1-\sqrt{5}}{2}$        B. $\frac{1-\sqrt{5}}{4}$       C. $\frac{\sqrt{5}&space;-&space;1}{2}$        D. $\frac{1+\sqrt{5}}{4}$

Simplify $\sqrt{60}$

A. $4\sqrt{3}$      B. $2\sqrt{15}$      C. $5\sqrt{3}$      D. $5\sqrt{15}$

Given that $\sqrt{128}$   +  $\sqrt{18}$   -  k   =   $7\sqrt{2}$, find k.

A. 8    B. 16    C. 32    D. 48

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