Question

Is the square root of 126 rational or irrational?

Answer 1

Irrational is the correct answer

Answer 2

$Given \: \sqrt{126 }$

$= \sqrt{ 2 \times 3 \times 3 \times 7 } \\= 3\sqrt{2\times 7 } \\= 3\sqrt{14} \: \green { ( Irrational \:number )}$

$\underline { \pink{ Irrational \: number :}}$

A number which cannot be expressed as a terminating decimal or a repeating decimal is called an Irrational number.

Therefore.,

$\red{ \sqrt{126}}\\ \green {( Is \: an \: irrational \:number )}$

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