Question

identyfy wether root 45 is rational or irrational
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Answer 1

It is not possible to break 45 into two such factors which, on squaring, give 45. It can be approximately written as a square of 6.708, which is a non-recurring and non-terminating decimal number. This shows that it is not a perfect square, which also proves that the square root of 45 is an irrational number

Answer 2

Answer:

√45=√3*3*5

=3√5

hence,√45 is an irrational number