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

a. no real root

Explanation:

sqrt(-9/16) has no real roots because negative numbers do not have two real numbers that are the same that multiply together to give a negative

-a * -a = a^2

a*a = a^2

There is no real number that gives -a^2