The Real Number System Review

√32

2√8

∛8

5√5

 $\pi\ ,\ \ \sqrt{39},\ \ 7,\ \ \ 4\sqrt{5}$  

   $\pi,\ \ \sqrt{39},\ \ 4\sqrt{5},\ \ 7$  

  $\sqrt{39},\ \ 7,\ \ 4\sqrt{5},\ \ \ \pi$  

  $7,\ 4\sqrt{5},\ \ \pi,\ \ \sqrt{39}$  

1.6739

$\sqrt{14}$

$6.\overline{23}$

$\frac{8\pi}{\pi}$

$\pi$

$\sqrt{5}$

-9

$2\sqrt{6}$

$\sqrt{16}$

$\sqrt{27}$

$-\sqrt{10}$

$\sqrt{117}$

Rational and negative

Irrational and decimal

Irrational and negative

Rational and integer

Rational and whole

Rational and integer

Irrational and integer

Irrational and real

Prime

integers only

Irrational only

Both integers and rational

$2\sqrt{17}$

$3\sqrt{3}$

$4\sqrt{15}$

$5\sqrt{3}$

 $\sqrt{200}$  

 $\sqrt{190}$  

 $\sqrt{100}$  

 $\sqrt{228}$