Question

help me to solve this

Answer 1

Answer:

Step-by-step explanation:

Given ,

Hello,

2√45+3√20/2√5;

=√5×[2√45+3√20/2√5];

=√5×(2√45+3√20/2)/2×(√5×√5);

=2√45·5+3√20·5/2×5;

=2√9·5·5+3√4·5·5/10;

=2√9·25+3√4·25/10;

=2×3×5+3×2×5/10;

=30+30/10;

=60/10;

=6..

It's rational number

Hope it helps you my dear friend..

Answer 2

given,
(2√45 +3√20)/2√3 = (2√3√15 + 3√20)/2√3
= (2√15 + √3√20)/2
= (2√15 + √60)/2
= (2√15 + √4×√15)/2
= (2√15 + 2√15)/2
= (√15 + √15)
= 2√15
hence,
2√15 is an irrational number