Question

Find the value of a and b: 5+√11/3-2√11=a+b√11

Answer 1

Answer:

Answer:

x=\frac{-37}{35} and y=\frac{-13}{35}

Step-by-step explanation:

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

Rationalise the above equation, we have

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

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

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

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

Now, comparing the LHS and RHS,

x=\frac{-37}{35} and y=\frac{-13}{35}

Answer 2

Answer:

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