Question

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

Responses / Answer Choice:

A. Rational
B. Irrational
C. Perfect
D. Non-Perfect

Answer 1

Let's fill in the blanks based on the properties of square roots and cube roots.

1. The square root of a **non-perfect** square (√7 = 2.6457...) is always irrational.
2. The square root of a **perfect** square (√25 = 5) is a rational, whole number.

This means that √36 is **rational** (since 36 is a perfect square and √36 = 6) and √10 is **irrational** (since 10 is a non-perfect square).

So, the completed statements are:

1. The square root of a **non-perfect** square (√7 = 2.6457...) is always irrational.
2. The square root of a **perfect** square (√25 = 5) is a rational, whole number.
3. This means that √36 is **rational** and √10 is **irrational**.