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Identify the following as rational number …

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Identify the following as rational number or irrational number a. 3√18 √9/27

Posted by Khushi Gupta 4 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 4 years, 4 months ago

a.3 √18

We have,

3 × √18

= 3 × √2 × 3 × 3

= 9×√2

Since, the product of a ratios and an irrational is an irrational number. 9 ×√2 is an irrational.

3 ×√18 is an irrational number.

(b) √(9/27)

We have,

√(9/27)

=3/√27

= 1/√3

Quotient of a rational and an irrational number is irrational numbers so

1/√3 is an irrational number.

√(9/27) is an irrational number.

ANSWER

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