Question

6 by 3 root 2 - 2 root 3 = a root 2 - b root 3 find and b​

Answer 1

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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Answer 2

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