Find two numbers which on multiplication with root 180

Asked by admin @ 20/08/2021 in Math viewed by 323 People

find two numbers which on multiplication with root 180 gives a rational number.are these numbers rational or irrational?

Answered by admin @ 20/08/2021

Solution:-
The number = √180 = √2*2*3*3*5
= 6√5
Now, it is a irrational number, and if we want to make it rational, we can multiply it by √5 or 2√5.
The product will be
1) 6√5 × √5 = 30
2) 6√5 × 2√5 = 60
These product are rational number and the two chosen numbers will be irrational numbers.

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