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5 votes
Write the number as the product of a real number and i
√( - 25) =

User KRTac
by
8.4k points

1 Answer

3 votes

first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.

Then, you can write:


\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i

because i = √-1.

Hence, the answer is 5i

User Pyzzled
by
7.0k points
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