Question

classify root 72 / root 81 is
rational or irrational number​

Answer 1

Answer:

Solution:

1) To find the square root of any number we will do it by the prime factorization and after it wee will find the square root by the pairing of the factors.

2) Rational numbers are the number which can be represented in the p/q form where p, q are integers and q can not be equal to 0.

3) While the irrational numbers are the numbers which can't be expressed in p/q form.

4) Prime factorization of 72

72 = 2 × 2 × 2 × 3 × 3

5) √72 =

on pairing we get

√72 = 2 × 3√2

√72 = 6√2

6) We all know that √2 is an irrational number and if we multiply any irrational number with any number than we get the irrational number only.

so √72 is an irrational number

81 is a rational number or irrational number-:

The square root of 81 is 9. This means that the square root of 81 is a rational number.