Question

The value of √(-144) is (a) 12i (b) -12i (c) ±12i (d) None of these​

Answer 1

Correct option :

(a) 12i

Explanation:

$\sqrt{-144}$ = $\sqrt{144}{-1}$

           = 12 $\sqrt{-1}$

            = 12i     ( since i is an imaginary number )

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The value of √(-144) is

(a) 12i

(b) - 12i

(c) ± 12i

(d) None of these

EVALUATION

$\sf \: \sqrt{( - 144)}$

$\sf \: = \sqrt{ 144 \times ( - 1)}$

$\sf \: = \sqrt{ 144 } \times \sqrt{ - 1}$

$\sf \: = \sqrt{ {12}^{2} } \times \sqrt{ {i}^{2} }$

$\sf \: = \pm \: 12i$

FINAL ANSWER

Hence the correct option is (c) ± 12i

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