If -3 - 1-3 - 1 - a - b -3- then the value of - a- and - b- is-

The correct option is A a = 2, b = 1 Given, √(3) 1√(3) + 1 = a + b √(3) On rationalizing, we get (√(3) 1)(√(3) 1)(√(3) +1)(√(3) 1) = a + ...

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Standard IX

Mathematics

Geometric Estimation Value of Square Root

If √3 - 1√3...

Question

If $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = a + b \sqrt{3}$ , then the value of ' $a$ ' and ' $b$ ' is:

a = 2, b = - 1

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a = 2, b = 1

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a = - 2, b = 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a = - 2, b = - 1

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Solution

The correct option is A $a = 2, b = - 1$
Given, $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = a + b \sqrt{3}$
On rationalizing, we get
$\frac{(\sqrt{3} - 1) (\sqrt{3} - 1)}{(\sqrt{3} + 1) (\sqrt{3} - 1)} = a + b \sqrt{3}$
$\Rightarrow \frac{3 + 1 - 2 \sqrt{3}}{2} = a + b \sqrt{3}$
$\Rightarrow 2 - \sqrt{3} = a + b \sqrt{3}$
Comparing $a = 2, b = - 1$

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If √3−1√3+1=a+b√3, then the value of 'a' and 'b' is:

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