Surds Review

Simplify the following surd...

• $3\sqrt{2}$

• $2\sqrt{3}$

• $9\sqrt{2}$

• $3\sqrt{6}$

Simplify the following surd...

• $7\sqrt{7}$

• $3\sqrt{7}$

• $9\sqrt{7}$

• $7\sqrt{3}$

The following are considered as surds except

• $\sqrt{32}$

• $\sqrt{81}$

• $3\sqrt{5}$

• $\frac{1}{\sqrt{6}}$

Simplify the following surd...

• $5\sqrt{2}$

• $5\sqrt{3}$

• $2\sqrt{5}$

• $10\sqrt{5}$

Simplify fully:  $\sqrt{120}$  

• $4\sqrt{30}$

• $2\sqrt{30}$

• $12\sqrt{10}$

• $6\sqrt{10}$

Simplify fully: $\sqrt{32}+5\sqrt{32}$  

•  $6\sqrt{32}$  

•  $24\sqrt{8}$  

•  $24\sqrt{2}$  

•  $6\sqrt{8}$  

Simplify fully: 
√32 + √12

• 4√2 +2√3
• 6√5
• √44
• 2√11

Tags

CCSS.HSN.RN.A.2

Rationalise the Denominator:  $\frac{3}{\sqrt{5}}$  

•  $\frac{3\sqrt{5}}{5}$  

•  $\frac{3\sqrt{5}}{25}$  

•  $\frac{\sqrt{5}}{5}$  

•  $\frac{\sqrt{5}}{3}$  

Rationalise the denominator $\frac{4}{\sqrt{5}-1}$  :

•  $\frac{\sqrt{5}-1}{4}$  

•  $\sqrt{5}+1$  

•  $4\sqrt{5}+4$  

•  $\sqrt{5}-1$  

Write the following entirely as a surd: $2\sqrt{5}$  

•  $\sqrt{20}$  

•  $\sqrt{10}$  

•  $\sqrt{50}$  

•  $\sqrt{100}$