Question

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Urgently nedded

Answer 1

Your answer is in the attachment dear .

Hope it helps

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Answer 2

$\frac{3}{2 \sqrt{5} }$

To prove that, it is a irrational number.

Let us consider the number as rational number, so it can be written as the form of p/q.

$= > \frac{3}{2 \sqrt{5} } = \frac{p}{q} \\ \\ = > 3 = \frac{p}{q} \times 2 \sqrt{5} \\ \\ = > 3 \times q = p \times 2 \sqrt{5} \\ \\ = > \frac{3q}{p} = 2 \sqrt{5} \\ \\ = > \frac{3q}{p} \div 2 \\ \\ = > \frac{3q}{p} \times \frac{1}{2} = \sqrt{5} \\ \\ = > \frac{3q}{2p} = \sqrt{5} \\ \\ = > \sqrt{5} = \frac{3q}{2p}$

Here 3q/2p is rational, but we know that √5 is irrational.

Hence our consideration was wrong and 3/2√5 is irrational.

hope it helps.