Question

Combine these radicals.
/24
2/3
-2/3
-3/2

Answer 1

Interpreting "/" as the square-root sign, the expression is
√24 + √(2/3) − √(2/3) − √(3/2).

The middle two terms cancel, leaving √24 − √(3/2).

Simplify:
√24 = √(4·6) = 2√6,
√(3/2) = √3/√2 = √6/2.

So
2√6 − √6/2 = (4√6 − √6)/2 = (3√6)/2.

Answer: 3√6/2.