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## Homework Statement

Solve the equation √(6 + 3√2) = √a + √b, writing a and b in the form a + b√c.

## Homework Equations

In the answers they say that a + b = 6, but I cannot see how they can say this.

## The Attempt at a Solution

I square both sides, and that is as far as I get:

6 + 3√2 = a + 2√(ab) + b

In the answers, they say from here that a + b = 6. I am clueless as to how they can say this.

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