If 5√3+3√2-6√3+7√2=a√3+b√2, then find a and b

Question

Mathematics

Juliana Burns

6 July, 23:59

If 5√3+3√2-6√3+7√2=a√3+b√2, then find a and b

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Answers (2)

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Boots · Answer 1

a = - 1 and b = 10.

Step-by-step explanation:

5√3 + 3√2 - 6√3 + 7√2 = a√3 + b√2

Bringing like terms together:-

5√3 - 6√3 + 3√2 + 7√2 = a√3 + b√2

-√3 + 10√2 = a√3 + b√2

Equating coefficients of √3 and √2:

a = - 1 and b = 10 (answer)

Meredith Villa · Answer 2

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