Irrational numbers

choose an irrational number

• $\sqrt{5}\times\sqrt{5}$

• $\sqrt{27}\div\sqrt{3}$

• $\sqrt{3}\times\sqrt{2}$

• $\sqrt{125}\div\sqrt{5}$

which of this numbers are irrational?

• $\frac{3}{5}$

• $0.\overline{6}$

• $\sqrt{81}$

• $\sqrt{8}$

Find a rational number between  $\sqrt{15\ }and\ \sqrt{17}$  

• 5

• 4

• 16

• 14

Simplify $\left(3\sqrt{2}\right)^2$  

• 36

• 18

• 6

• 12

Express  $5\sqrt{6}$  as a root of single number.

•  $\sqrt{150}$  

•  $\sqrt{30}$  

•  $\sqrt{180}$  

•  $\sqrt{15}$  

Simplify  $\left(2+\sqrt{3}\right)^2$  

•  $4+\sqrt{3}$  

•  $7+2\sqrt{3}$  

•  $7+4\sqrt{3}$  

•  $5+4\sqrt{3}$  

Simplify : $\left(5-\sqrt{10}\right)\left(5+\sqrt{10}\right)$  

• -5

• 15

• 25

• -15

Express with rational denominator: $\frac{1}{\sqrt{6}}$  

•  $\frac{\sqrt{6}}{6}$  

•  $\frac{1}{6}$  

•  $\frac{1}{12}$  

•  $\frac{\sqrt{6}}{12}$  

Express with rational denominator: $\frac{3}{2\sqrt{6}}$  

•  $\frac{1}{4}$  

•  $\frac{\sqrt{6}}{2}$  

•  $\frac{\sqrt{6}}{4}$  

•  $\frac{\sqrt{6}}{3}$  

Express with rational denominator:  $\frac{\sqrt{8}}{\sqrt{12}}$  

•  $\frac{2}{3}$  

•  $\frac{\sqrt{2}}{3}$  

•  $\frac{\sqrt{3}}{3}$  

•  $\frac{\sqrt{6}}{3}$