Question

Find all the real square roots of –(9/16)

A. no real root
B. -(3/4)
C. -(3/4) and 3/4
D. 81/256

Answer 1

We are asked t determine the real square root of -(9/16). the square root of a negative number is an imaginary number hence the answer to this problem is A. no real root. If this number is a positive number, then the answer would have been +-3/4

Answer 2

Answer:

Option A. no real root.

Step-by-step explanation:

We have to find the real square roots of $(-\frac{9}{16})$.

We can write the term as $\sqrt{-\frac{9}{16}}=\sqrt{\frac{9.(-1)}{16}}$

=$\pm \frac{3}{4}i$ [ As we know √(-1) = i ]

Since it's an imaginary number therefore we can say square root of any negative number is an imaginary number.

Therefore Option A. no real roots is the correct option.