Question

Evaluae
$evaluate \sqrt{25 \: \times \sqrt{ - 81} }$
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Answer 1

Question:-

• Evaluate $\sqrt{25 \: \times \sqrt{ - 81} }$

Solution:-

$\sqrt{25 \: \times \sqrt{ - 81} }$

We know that -

$i {}^{2} = - 1$

Hence,

$\sqrt{25 \: \times \sqrt{ - 81} } \\ \\ = \sqrt{25 \: \times \sqrt{ 81i {}^{2} } } \\ \\= \sqrt{25 \: \times9i } = 5 \times 3 \sqrt{i}$

We also know that -

$i = \sqrt{ - 1}$

Hence,

$5 \times 3 \sqrt{ - 1}$

• The square root of a negative number does not exist in the set of real numbers.

Hence, there is no such real solution.

Answer 2

Step-by-step explanation:

√

25

81

Rewrite

√

25

81

as

√

25

√

81

.

√

25

√

81

Simplify the numerator.

Tap for more steps...

5

√

81

Simplify the denominator.

Tap for more steps...

5

9

The result can be shown in multiple forms.

Exact Form:

5

9

Decimal Form:

0.5