Number system - Class 9

 $A\ rational\ number\ between\ \frac{1}{7}\ and\ \frac{2}{7}\ is$  

•  $\frac{1}{14}$  

•  $\frac{2}{21}$  

•  $\frac{5}{14}$  

•  $\frac{5}{21}$  

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

 $2-\sqrt{7}is\$  

• a rational number

• an irrational number 

• an integer

• a natural number

Tags

CCSS.HSN.RN.B.3

 $On\ simplifying\ \left(\sqrt{5\ }+\sqrt{7}\right)²,\ we\ get$  

• 12

•  $\sqrt{35}$  

•  $\sqrt{5}+\sqrt{7}$  

•  $12+2\sqrt{35}$  

Tags

CCSS.HSN.RN.A.2

 $simplify\sqrt{125}\ X\ \ \sqrt{5}$  

• 5

• 25

• 35

• 50

 $If\ x=3+2\sqrt{2}\ ,then\ \ the\ value\ \ find\ x+\frac{1}{x}$  

• 5

• 7

• 6

• 8

 $Find\ the\ value\ of\ a\ and\ b\ if\ \frac{\sqrt{3}\ -1}{\sqrt{3}\ +1}=a+b\sqrt{3}$  

• a=1,b=2

• a=3,b=1

• a=2,b=-1

• a=-1,b=2

 $simplify\ \frac{4+\sqrt{5}}{4-\sqrt{5}}\ +\ \frac{4-\sqrt{5}}{4+\sqrt{5}}$  

• 22/3

• 42/11

• 32/11

• 52/11

Tags

CCSS.HSN.RN.A.2

 $If\ x=\frac{\sqrt{2\ }\ +1}{\sqrt{2}\ -1}\ and\ y=\frac{\sqrt{2}-1}{\sqrt{2}+1},\ find\ the\ value\ of\ x^2+y^2+xy$  

• 45

• 25

• 55

• 35

 $Find\ the\ value\ of\ \left(81\right)^{0.16}\ X\ \left(81\right)^{0.09}$  

• 1

• 6

• 2

• 3

 $Evaluate\ \left(\frac{32}{243}\right)^{\frac{-4}{5}}$  

• 27/16

• 8/27

• 81/16

• 27/8