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5 votes
Rationalize the denominator of
1/3+√2​

User Edita
by
5.5k points

1 Answer

1 vote

Answer:

(-√2 + 3)/7

Explanation:

To rationalize the denominator, we need to multiply by the conjugate:

1/(3 + √2)*(3 - √2)/(3 - √2)

(3 - √2)/(9 - √4)

(3 - √2)/(9 - 2)

(-√2 + 3)/7

User Dradd
by
5.5k points