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(3√(7) \\+7√(3))/√(21)
71.3k views
3 votes
(3
√(7) \\+7
√(3))/
√(21)

User Spangen
by
7.7k points

1 Answer

4 votes

Answer:

sqrt(3) + sqrt(7)

Explanation:

3*sqrt(7) / sqrt(21) = 3/sqrt(3)

If you rationalize the denominator, you get 3*sqrt(3)/3. The threes cancel

You are left with sqrt(3)

7sqrt(3)/sqrt(21) = 7 / sqrt(7)

If you rationalize the denominator, you get

7 sqrt(7)/ 7 = sqrt(7)

The 7s have been canceled out

The answer is

sqrt(3) + sqrt(7)

User Annelorayne
by
8.3k points
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