Question

Evaluate: √216 x 125​

Answer 1

Answer:

√(216X125) = √(6X6X6X5X5X5) = 6X5√(6X5) = 30√30.

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Answer 2

Given:

$\sqrt{216 \times 125}$

To find:

The value of √216 x 125.

Solution:

To answer this question, first of all, we should know that

$\sqrt{ {x}^{2} } = x$

Now,

as given,

we have,

$\sqrt{216 \times 125}$

216 can be written as 6 × 6 × 6

Similarly,

125 can be written as 5 × 5 × 5

So,

we have

$\sqrt{6 \times 6 \times 6 \times 5 \times 5 \times 5}$

$= \sqrt{ {6}^{2} \times 6 \times {5}^{2} \times 5}$

$= 6 \times 5 \sqrt{6 \times 5}$

$= 30 \sqrt{30}$

Hence, the value of √216 x 125 is 30√30.