Because it can't be expressed as a fraction
The square root of (any number that isn't a perfect square) is irrational.
No because the square root of 900 is 30 which is a rational number
The expression "30 to the square root" is not clearly defined, but if you mean (30^{\sqrt{30}}), then this expression is irrational because it involves raising a rational number (30) to an irrational exponent ((\sqrt{30})). In general, a rational number raised to an irrational power results in an irrational number. Hence, (30^{\sqrt{30}}) is irrational.
No. The square root of 900 is 30, which is most definitely a rational number.
real numbers, irrational numbers, ...
The square root of 30, denoted as √30, is an irrational number because it cannot be expressed as a fraction of two integers. Its decimal expansion is approximately 5.477, which goes on forever without repeating. The rationale behind its classification as irrational lies in the fact that 30 is not a perfect square, meaning there is no integer that, when multiplied by itself, equals 30. Thus, √30 is often left in its radical form for exactness in mathematical expressions.
10 times pi, 24 times the square root of 2, plenty more (infinitely more).
The square root of 32 approximates to 5.66
Yes; the square root of 900 is 30 which is a rational number.
Square them both, find a non-square integer between those two results, and then take the square root of that number. In other words, find a non-square integer between 25 and 49, and since there is only one square number between them, 36, that should be easy; let's pick 42, and then take the square root of it. Ta da! √42 is an irrational number between 5 and 7, its first 30 digits being 6.48074069840786023096596743608.
It is 30
No.