exam Maths Puzzle Numerical Ability

Please help! This has me stumped. I think this is a logarithm problem.
Find the integer k such that 270k is a perfect square.

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exam Other Question

please help me solve for x the equation 22=(9+x)x Multiply then simplify the radical expression:
sqrt7(2sqrt3 + 3sqrt7)
I believe it starts with what is inside the parenthesis first:
2sqrt3 + 3sqrt7= 5sqrt10
7 * 5 = 35
7 * 10 = 30
35sqrt30?