6 by 3 root 2 – 2 root 3 = a root 2 – b root 3 find and b Question 6 by 3 root 2 – 2 root 3 = a root 2 – b root 3 find and b in progress 0 Math Skylar 2 months 2021-11-10T21:46:35+00:00 2021-11-10T21:46:35+00:00 2 Answers 0 views 0

## Answers ( )

Answer:We can multiply both top and bottom by 3+√2 (the conjugate of 3−√2), which won’t change the value of the fraction:

13−√2 × 3+√23+√2 = 3+√232−(√2)2 = 3+√27

(The denominator becomes (a+b)(a−b) = a2 − b2 which simplifies to 9−2=7)

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