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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

213444

L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 2772 x 7 x 11 = 213444

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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

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45.

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

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