Choose the correct term to fill in the blanks.

Question

Square roots and Cube roots can be rational or irrational. The square root of a ___________ square (√7 = 2.6457...) is always irrational. The square root of a ________ square (√25 = 5) is a rational, whole number. This means that √36 is _________ and √10 is _________

options:
A).Rational
B). Irrational
C). Perfect
D). Non-perfect

Answer 1

The correct terms to fill in the blanks are:

1. The square root of a C). Perfect square (√7 = 2.6457...) is always irrational.
2. The square root of a D). Non-perfect square (√25 = 5) is a rational, whole number.
3. This means that √36 is A). Rational and √10 is B). Irrational.

So the complete statement is:

Square roots and Cube roots can be rational or irrational. The square root of a perfect square (√7 = 2.6457...) is always irrational. The square root of a non-perfect square (√25 = 5) is a rational, whole number. This means that √36 is rational and √10 is irrational.