Question

write whether 2root45+3root20/2root5 is rational or irrational number?

Answer 1

I hope u got ur answer plz comment below

Answer 2

$2 \sqrt{45 } = 2 \times 3 \sqrt{5} = 6 \sqrt{5} \\ 3 \sqrt{20} = 3 \times 2 \sqrt{5} = 6 \sqrt{5} \\ 2 \sqrt{5} \\ 6 \sqrt{5} + 6 \sqrt{5} = 12 \sqrt{5} \div 2 \sqrt{5} = 6$

which is a rational number