Question

2√−9. √−16 is equal to :​

Answer 1

24 is answer

Step-by-step explanation:

2×3=6(3 is root of 9)

6×4=24(4 is root of 16)

Answer 2

SOLUTION

TO DETERMINE

$\sf 2 \sqrt{ - 9} . \sqrt{ - 16}$

EVALUATION

Here the given expression is

$\sf 2 \sqrt{ - 9} \: . \: \sqrt{ - 16}$

We simplify it as below

$\sf 2 \sqrt{ - 9} \: . \: \sqrt{ - 16}$

$\sf = 2 \sqrt{ - 1} \times \sqrt{9} \times \sqrt{ - 1} \times \sqrt{16}$

$\sf = 2 \times i \times 3 \times i \times 4$

$\sf = 24 \times {i}^{2}$

$\sf = 24 \times ( - 1)$

$\sf = - 24$

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