10 - √18 / √2 = a+b √2 where a and b are integers. What is the value of a and b

Mathematics · High School · Tue Nov 03 2020

Answered on

We have,

(10 - √18) / √2 = a+b √2

(10 - 3 √2)/ √2 = a+b √2

10/ √2 - 3√2/√2 = a + b√2

5√2 - 3 = a + b√2

-3 + 5√2 = a + b√2

So, a = - 3 and b = 5

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