What is the square root of 225 minus the square root of 15 plus the square root of 60?
Answer:
√ 225 − √ 15 + √ 60 = 15 + √ 15 ≈ 18.8729833462
Explanation:
If a , b ≥ 0 then √ a b = √ a √ b
Hence:
√ 225 − √ 15 + √ 60
= √ 15 2 − √ 15 + √ 2 2 ⋅ 15
= 15 − √ 15 + 2 √ 15
= 15 + √ 15
square root of 225
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