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Q: Is the square root of 84 rational?

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No because it is 2 times the square root of 21 which is an irrational numberThe square root of 84 is not a rational number

√84 is irrational.

The square roots of 84 are irrational.

irrational

The square root of 25 is 5 ... rational.

First note that 84=4x21 and 4 is a perfect square. So square root of (84)=square root (4x21)=Square root (4) Square root (21)= 2 multiplied by the square root of 21. You can also write this using rational exponents, but this is not in radical form. It is an equivalent expression, however. 2 x (21)1/2

is the square root of 3 rational

No, the square root of 1000 is not rational.

The square root of 4 is 2. 2 is a rational number so they square root of 4 is rational.

The square root of 48 is a rational or irrational

No, the square root of 1500 is not a rational number.

[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.

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