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RSB [31]
3 years ago
5

Rationalize the denominator of 7+3√2​

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

Answer:

31

Step-by-step explanation:

To rationalise 7 + 3\sqrt{2} , multiply by its conjugate

The conjugate of 7 + 3\sqrt{2} is 7 - 3\sqrt{2} , then

(7 + 3\sqrt{2})(7 - 3\sqrt{2}) ← expand using FOIL

= 49 - 21\sqrt{2} - 21\sqrt{2} - (3\sqrt{2})²

= 49 - 18

= 31

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