Question

Find the value of a and b if, 3+2 root 11/root 11-3=a+b root 11
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Please don't write unnecessary things

Answer 1

Answer:

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step by step

Answer:

x=\frac{-37}{35}

35

−37

and y=\frac{-13}{35}

35

−13

Step-by-step explanation:

Given: \frac{5+\sqrt{11}}{3-2\sqrt{11}}

3−2

11

5+

11

Rationalise the above equation, we have

x+y\sqrt{11}x+y

11

=\frac{5+\sqrt{11}}{3-2\sqrt{11}}{\times}\frac{3+2\sqrt{11}}{3+2\sqrt{11}}

3−2

11

5+

11

×

3+2

11

3+2

11

x+y\sqrt{11}x+y

11

=\frac{15+3\sqrt{11}+10\sqrt{11}+22}{9-44}

9−44

15+3

11

+10

11

+22

x+y\sqrt{11}x+y

11

=\frac{37+13\sqrt{11}}{-35}

−35

37+13

11

x+y\sqrt{11}x+y

11

=\frac{-37}{35}+\frac{-13}{35}\sqrt{11}

35

−37

+

35

−13

11

Now, comparing the LHS and RHS,

x=\frac{-37}{35}

35

−37

and y=\frac{-13}{35}

35

−13