Question

write whether 2 root 45 + 3 root 20 divided by 2 root 5 on simplification give a rational or irrational number

Answer 1

hope it will help you

Answer 2

Answer:

$\frac{2\sqrt{45}+3\sqrt{20}}{2\sqrt{5}}=6=Rational\: number$

Step-by-step explanation:

$\frac{2\sqrt{45}+3\sqrt{20}}{2\sqrt{5}}$

$=\frac{2\sqrt{3\times 3\times 5}+3\sqrt{2\times 2\times 5}}{2\sqrt{5}}$

$=\frac{2\times 3\sqrt{5}+3\times 2\sqrt{5}}{2\sqrt{5}}$

$=\frac{2\sqrt{5}(3+3)}{2\sqrt{5}}\\=6\\=Rational\: number$

Therefore,

$\frac{2\sqrt{45}+3\sqrt{20}}{2\sqrt{5}}=6\\=Rational\: number$

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