Question

how do i simplify the radical and use the imaginary unit i for the square root of -144

Answer 1

Answer:

i12

Step-by-step explanation:

$\sqrt{ - 144 } \\ = \sqrt{ - 1 \times 144} \\ = \sqrt{ - 1 } \times \sqrt{144} \\ = i12$

I think this is right...

Answer 2

Question –

=> What Is the Square Root of

$\sqrt{144} \: ?$

• The square root of a number is the number (integer) which when multiplied by itself results in the original number.

$\bf \begin{gathered} \bf\sqrt{ - 144 } \\ = \bf\sqrt{ - 1 \times 144} \\ = \bf\sqrt{ - 1 } \times \bf\sqrt{144} \bf\\ = 12\end{gathered}$

__________________________

Another Way –

• 144 = a × a = 122

• Then a = √144 = √(12 × 12)

• 12 × 12 = 144 or -12 × - 12 = 144

• The square root of 144 is + 12 or -12

• This shows that 144 is a perfect square.

* Therefore Square root of 144, √144 = 12