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Rationalize the denominator of 7+3√2​
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Rationalize the denominator of 7+3√2​

User Scaraffe
by
4.5k points

1 Answer

5 votes

Answer:

31

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

User Metasim
by
4.1k points
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