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Irrational Numbers

What is the v...

Question

What is the value of a and b, if (3+√5) / (3-√5) =a+b√5 where a and b are rational numbers?

A

1.8,3.2

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B

3.2,1.8

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C

3.5,1.5

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D

1.5,3.5

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Solution

The correct option is C 3.5,1.5

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' are rational numbers and

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Q. Find the rational values of a and b from each of the following:
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\frac{\sqrt{2} - \sqrt{3}}{3 \sqrt{2} - 2 \sqrt{3}} = a + b \sqrt{6}

\frac{4 - 3 \sqrt{5}}{4 - 3 \sqrt{5}} = a + b \sqrt{5}

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