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2 x 90 = 180 and its square root to 4 decimal places is 13.4164

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16y ago

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Is the square root of 90 rational or irrational?

The square root of 90 is irrational. This is because 90 can be factored into its prime factors as (90 = 2 \times 3^2 \times 5). Since the square root of 90 cannot be expressed as a fraction of two integers, it does not have a terminating or repeating decimal representation, confirming its irrationality.


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To find the square root of the expression (2 \times 2 \times 5 \times 7 \times 7 \times 5), first simplify it by grouping the factors: ( (2^2) \times (5^2) \times (7^2) ). The square root of a product can be calculated by taking the square root of each factor. Thus, the square root of (2^2 \times 5^2 \times 7^2) is (2 \times 5 \times 7 = 70).