Check 2root45+3root20/2root5 a rational or an irrational
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Answered by
10
2√45=6√5
3√20=6√5
2√5=2√5
in the equation (6√5+6√5)/2√5
=(12√5)/2√5=6. (√5 will be cancelled and
12 and 2 will be cancelled
and the result is 6
3√20=6√5
2√5=2√5
in the equation (6√5+6√5)/2√5
=(12√5)/2√5=6. (√5 will be cancelled and
12 and 2 will be cancelled
and the result is 6
Answered by
6
Step-by-step explanation:
2√45+3√20/2√5
=2√3×3×5+3√2×2×5/2√5
=2×3√5+3×2√5/2√5
=6√5+6√5/2√5
=12√5/2√5
=6
Therefore, 2√45+3√20/2√5 is a rational number.
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