Work out the value of: (\sqrt[3]{9})^(3)*(√(30) )^(2) why is maths so hard ... send help

Question

Work out the value of:
`(\sqrt[3]{9})^(3)*(√(30) )^(2)`

why is maths so hard ... send help

Answer 1

The cube and cube of the first item can be offset, and the square root and square of the second item can offset each other. The final result is that 9 times 30 is 270.

Answer 2

270

Explanation:

the cube of the cube root of a number (n) , just gives the number

• (
`\sqrt[3]{n}` )³ = n

Similarly

the square of the square root of a number (n) , just gives the number

• (
`√(n)` )² = n

given

(
`\sqrt[3]{9}` )³ × (
`√(30)` )²

= 9 × 30

= 270