How do you simplify 2 squareroot of 27 minus square root of 75 plus square root of 24?

1 Answer
Feb 18, 2016

3.(1+22)

Explanation:

Given: 2×2775+24

Note that simplify is not 'solve'
Looking for a common factor I have spotted 3

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Consider:
27 = 3×3×3 = 3×32 = 33

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Consider:
75 = 5×15 = 3×52 = 53

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Consider:
24 = 3×8 = 3×2×22 = 232

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Putting this all together:

6353+232

3+232

3(1+22)