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ExtremeBDS [4]
3 years ago
13

Simplify the expression (2 square root sign 27) - (3 square root sign 32)

Mathematics
1 answer:
monitta3 years ago
6 0

Answer:

3\sqrt{3} - 4\sqrt{2}

Step-by-step explanation:

The expression (2 square root sign 27) - (3 square root sign 32) is 2\sqrt{27} - 3\sqrt{32}.

To simplify, simplify inside the radicals by removing perfect square factors.

\sqrt{27} =\sqrt{9*3} =3\sqrt{3}

\sqrt{32} =\sqrt{16*2} =4\sqrt{2}

The expression becomes 3\sqrt{3} - 4\sqrt{2}.

This cannot be simplified anymore because whats under the radical is not the same.

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