If a² = 23/25, then a is (a) Rational (b) Irrational (c) Whole number (d) Integer

If a² = 23/25, then a is 

(a) rational 

(b) irrational 

(c) whole number 

(d) integer

(b) irrational 

Explanation:

`a^{2}` = `"23"/"25"`

a = `\pm\sqrt{\frac{23}{25}}`

a = `\pm\frac{\sqrt{23}}{\sqrt{25}}`

a = `\pm\frac{\sqrt{23}}5`

∴ `\sqrt{23}` is irrational

∴ `\pm\frac{\sqrt{23}}5` is also irrational

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CBSE Class 10 Mathematics Sample Paper-2022