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Simplify the expression.

3/
√(7)-√(2)

Simplify the expression. 3/√(7)-√(2)-example-1
User RMP
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1 Answer

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(3)/(\sqrt 7- \sqrt 2)\\\\\\=(3 \left( \sqrt 7+ \sqrt 2\right))/(\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right))\\\\\\=(3 \left( \sqrt 7+ \sqrt 2\right))/(\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 )\\\\\\= (3 \left( \sqrt 7+ \sqrt 2\right))/(7-2)\\\\\\=\frac{3 \left( \sqrt 7+ \sqrt 2\right)}5

User Alexkr
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