Question

If $\sqrt{18 \times 14 \times x} = 168$ then $x$ is equal to:

• A. 113
• B. 112
• C. 115
• D. 117

Hint:

When solving equations with square roots, first eliminate the square root by squaring both sides and simplify step by step.

Answer 1

The Correct Option is B

We are given: $\sqrt{18 \times 14 \times x} = 168$
First, square both sides to eliminate the square root:
$18 \times 14 \times x = 168^2$
Calculate the square: $168^2 = 28224$
Now solve for $x$:
$18 \times 14 = 252$
So, $252 \times x = 28224$
$x = \dfrac{28224}{252} = \boxed{112}$