Rationalize the denominator of 7+3√2

Dminones asked May 2, 2022

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Dminones asked May 2, 2022

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12 votes

Answer:

Explanation:

To rationalise 7 + 3
√(2) , multiply by its conjugate

The conjugate of 7 + 3
√(2) is 7 - 3
√(2) , then

(7 + 3
√(2) )(7 - 3
√(2) ) ← expand using FOIL

= 49 - 21
√(2) - 21
√(2) - (3
√(2) )²

= 49 - 18

= 31

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