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Find the values of A and B

a =
b =


Find the values of A and B a = b = ​-example-1

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1 vote

Answer:

a=-3, b=5

Explanation:

Given that:

10-√18/√2=a+b√2

We need to find values of a and b.

All we have to do is solve 10-√18/√2

The first step is to simplify √18

√18=√9×2=3√2

The second step is to rationalize the whole fraction, by removing an irrational number as the denominator

10-√18/√2 = 10-3√2/√2 × √2/√2

Distribute √2:

10√2-3×√2²/√2²

10√2-6/2

Factor out 2 from the expression:

2(5√2-3)/2

Cancel out the 2, and the final answer is:

5√2-3

Thus, a=-3 and b=5

Hope this helps!

User Jax Cavalera
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