SOLUTION: what is the square root of 32 minus the cube root of 98?

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Question 162505: what is the square root of 32 minus the cube root of 98?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
what is the square root of 32 minus the cube root of 98?
.
+sqrt%2832%29+-+sqrt%2898%29+
factor down to prime numbers:
+sqrt%282%2A2%2A2%2A2%2A2%29+-+sqrt%282%2A7%2A7%29+
pulling out "pairs" from under the square root:
+%282%2A2%29sqrt%282%29+-+7sqrt%282%29+
factoring out the sqrt(2):
+4sqrt%282%29+-+7sqrt%282%29+
+sqrt%282%29%284-7%29+
+sqrt%282%29%28-3%29+
+-3sqrt%282%29+