(7+ √18) (11 + √2) can be written in the form a+b√2, where a and b are integers. What are the values of a and b?

SangYeob Bono Yu asked Mar 26, 2023

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9 votes

SangYeob Bono Yu asked Mar 26, 2023

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22 votes

Answer: 83 + 40
√(2)

a = 83 and b =
40√(2)

Explanation:

Firstly start by simplifying
√(18) .

1.
√(9 * 2)

2.
3√(2)

Then multiply the parentheses with each other

1. 77 + 7
√(2) + 33
√(2) + 6

2. 83 +
40√(2)

Eickenberg answered Mar 30, 2023

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