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Square Roots and Cube Roots

Multiple Choice Questions

41.

The value of $square root of negative square root of 3 space plus space square root of 3 space plus space 8 square root of 7 space plus space 4 square root of 3 end root end root end root$ is

65 Views

42.
If $square root of 4 straight x minus 9 end root space plus space square root of 4 straight x plus 9 end root space equals space 5 space plus space square root of 7 comma$ then the value of x is

5

7

3

4

Shortcut Method:
Go with the option (d),
$square root of 4 straight x minus 9 end root space plus space square root of 4 straight x plus 9 end root space equals space square root of 4 space cross times space 4 space minus space 9 end root space plus space square root of 4 space cross times space 4 space plus space 9 end root space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space square root of 7 space plus space square root of 25 space equals space 5 space plus space square root of 7$

34 Views

43.

The least positive integer which is a perfect square and also divisible by each 21, 36 and 66 is

213444
254016
156816
186624

25 Views

44.

Find the simplest value of $2 square root of 50 space plus space square root of 18 space minus space square root of 72$ (given $square root of 2 equals space space 1.4141$ ).

9.898
10.312
8.484
4.242

25 Views

45.

The square root of $33 minus 4 square root of 35$ is

$left parenthesis square root of 7 space minus space 2 square root of 5 right parenthesis$
$plus-or-minus left parenthesis 2 square root of 7 space minus space square root of 5 right parenthesis$
$plus-or-minus left parenthesis 2 square root of 7 space plus space square root of 5 right parenthesis$
$plus-or-minus left parenthesis square root of 7 space plus space 2 square root of 5 right parenthesis$