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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

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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

9.898

$2 square root of 50 space plus space square root of 18 space minus space square root of 72 space equals space 2 square root of 5 cross times 5 cross times 2 end root space plus space square root of 3 cross times 3 cross times 2 end root space minus space square root of 6 cross times 6 cross times 2 end root equals space 2 space cross times space 5 square root of 2 space plus space 3 square root of 2 space minus space 6 square root of 2 space equals space 10 square root of 2 space plus space 3 square root of 2 space minus space 6 square root of 2 equals space 13 square root of 2 space minus space 6 square root of 2 space equals space 7 square root of 2 space equals space 7 space cross times space 1.414 space equals space 9.898$

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45.

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

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