If you can completely write a number, using digits, fractions and decimals,
then the number is rational.
You appear to have accomplished that.
Each of the two numbers is a rational number.
30
Yes; the square root of 900 is 30 which is a rational number.
No.
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.
Each of the two numbers is a rational number.
No because 30 is a rational number
30
Yes; the square root of 900 is 30 which is a rational number.
Rational
No.
No because it can be expressed as a fraction in the form of 30/1
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.
If you can completely write a number, using digits, fractions and decimals, then the number is rational. You appear to have accomplished that.
30
Every rational number "goes into" every other rational number. In this case, the quotient is 0.7 .
No, only perfect squares like 25 and 36, which are around 30, have a square root that is a rational number.