Question

examine whether the following number is rational or irrational by solving
$( \sqrt{3} + 2) ^{2}$
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Answer 1

Answer:

Step-by-step explanation:

Plz see attachment.

Answer 2

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Let,

$= > ( \sqrt{3} + 2) {}^{2}$

$= > { (\sqrt{3} )}^{2} + (2) {}^{2} - 4 \sqrt{3}$

$= > 4 + 3 + 4 \sqrt{3}$

$= > 7 + 4 \sqrt{3}$

Hence sum of a rational or irrational no. is irrational.

This proves that (√3+2)^2

is an irrational no.

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