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Powers and Roots Practice Test 4

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Question : 16 of 40

Marks: +1, -0

9,936 \div 621 + (12 \times 15) = (?)^{\frac{1}{2}} \times 7

14
196
$\sqrt{28}$
784
None of these

Solution:

Concept:

Simplify both sides of the equation, then isolate the square root and square it.

Explanation:

First simplify the division:

9936 \div 621 = 16

.

Next multiply:

12 \times 15 = 180

.

So, the left side becomes

16 + 180 = 196

.

The equation is

196 = \sqrt{x} \times 7

.

Divide both sides by

7

:

\sqrt{x} = 196 \div 7 = 28

.

Square both sides:

x = 28^2 = 784

.

Answer:

The correct option is D:

784

.

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