Maths Demo test for class 9

Time:

Total Question: 15

1.

If sqrt{19-4sqrt{x}}=sqrt{12}-sqrt{7}, then x = __________

 
 
   
2.

sqrt{12sqrt{5}+2sqrt{55}}= _______

 
 
   
3.

If sqrt{23+xsqrt{10}}=sqrt{18}+sqrt{5}, then x = __________

 
 
   
4.

If x=5+2sqrt{6}, then small sqrt{frac{x}{2}}-frac{1}{sqrt{2x}}= ___________ 

 
 
   
5.

If x = 8 - small sqrt{60}, then small frac{1}{2}left [ sqrt{x}+frac{2}{sqrt{x}} 
ight ]=_______

 
 
   
6.

If small x=sqrt{7}-sqrt{5}, y=sqrt{13}-sqrt{11}, then:

 
 
   
7.

small sqrt[6]{4}+sqrt[4]{6}=________

 
 
   
8.

small frac{3+sqrt{6}}{sqrt{75}-sqrt{48}-sqrt{32}+sqrt{50}}= ____________

 
 
   
9.

If small frac{1}{sqrt{10}+sqrt{14}+sqrt{15}+sqrt{21}}=frac{sqrt{10}-sqrt{14}-sqrt{15}+sqrt{21}}{k}, then:

 
 
   
10.

If small sqrt{frac{6+2sqrt{3}}{33-19sqrt{3}}}=a+bsqrt{3}, then a + b = ________

 
 
   
11.

small sqrt{11}-sqrt{10},  small sqrt{12}-sqrt{11}

 
 
   
12.

If small x=sqrt{2}+1, y=sqrt{17}-sqrt{2}, then _____

 
 
   
13.

If small x=sqrt{frac{7+4sqrt{3}}{7-4sqrt{3}}}, then small x^{2}(x-14)^{2}= __________

 
 
   
14.

If small frac{4+3sqrt{3}}{sqrt{7+4sqrt{3}}}=a+sqrt{b}, then (a, b) = _________

 
 
   
15.

If small a=sqrt{14}+sqrt{18}, b=sqrt{15}+sqrt{17}, then: