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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

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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

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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

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45.

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

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

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46.
If (x + 7954 x 7956) be a square number, then the value of 'x' is

1

16

9

4

Shortcut Method:
Difference = (7956 - 7954) = 2, Choose any two numbers whose difference is 2 and both are even, like: - 6 and 4. Put these numbers in the equation.
i.e. (x + 4 x 6) = (x + 24), if we put x = 1 then it becomes perfect square. i.e. (1 + 24) = 25 is pefect square number.
Thus, Option (a), x = 1 is the right answer.

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