Free Printable Radicals

1.

$\left(5+\sqrt{7}\right)\left(\sqrt{5}-7\right)$

a)

$5\sqrt{5}-37$

b)

$5\sqrt{5}-35+\sqrt{25}-\sqrt{49}$

c)

$25-\sqrt{14}$

d)

$-37+5\sqrt{5}$

2.

$\frac{3}{\sqrt{6}}$

a)

$\frac{\sqrt{6}}{6}$

b)

$\sqrt{1\ }\ or\ 1$

c)

$\frac{1}{\sqrt{2}}$

d)

$\frac{3\sqrt{0}}{1}$

3.

$\left(\sqrt{16}-\sqrt{12}\right)^2$

a)

4

b)

16

c)

18

d)

-16

4.

$\frac{3\sqrt{6}}{4\sqrt{2}}$

a)

$\frac{3\sqrt{3}}{4}$

b)

$3\sqrt{4}$

c)

$\frac{3\sqrt{4}}{3}$

d)

$\frac{4\sqrt{3}}{4}$

5.

$\frac{5}{\sqrt{24}}$

a)

$\frac{\sqrt{30}}{12}$

b)

$\frac{5\sqrt{24}}{24}$

c)

$5$

d)

$24$

6.

$18\sqrt{12\ \ }+12\sqrt{3}$

a)

$48\sqrt{9}$

b)

$48\sqrt{8}$

c)

$144$

d)

-144

7.

$\left(7\sqrt{7}+6\sqrt{3}\right)\left(3\sqrt{2}-4\sqrt{6}\right)$

a)

4

b)

$-124\sqrt{6}$

c)

$21\sqrt{14}-28\sqrt{42}+18\sqrt{6}-72\sqrt{2}$

d)

$20\sqrt{13}-27\sqrt{41}-17\sqrt{5}-71\sqrt{2}$

Radicals

Total questions: 7

Worksheet time: 35mins

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