tell whether each of the following is a rational or irrational if it is rational give the principal root.​

Respuesta :

Answer:

1. and 4. are rational

2,3 and 5 are irrational

Explanation:

Missing Part of the question:

1.√1

2.√8

3.√52

4.√256

5.√15

Required

Determine whether or not each of the above is rational

Numbers that can be represented as fractions of whole numbers are referred to as rational number. If otherwise, they're referred to as irrational numbers.

Using the above explanation, we'll answer the question as follows:

1.√1

√1 = 1

This is Rational

2.√8

√8 = 2.82842712475

The result of √8 is irrational because 2.82..... cannot be represented as fractions of integers.

The principal root of √8 is 2.83 (approximated)

3.√52

√52 = 7.21110255093

The result of √52 is irrational because 7.211..... cannot be represented as fractions of integers.

The principal root of √52 is 7.21 (approximated)

4.√256

√256 = 16

This is rational

5.√15

√15 = 3.87298334621

The result of √15 is irrational because 3.87..... cannot be represented as fractions of integers.

The principal root of √15 is 3.87 (approximated)