The value of -3-1-3-1-3-1-3-1 is

The correct option is C 4 √(3) 1/√(3)+1×√(3) 1/√(3) 1 + √(3)+1/√(3) 1×√(3)+1/√(3)+1 =3+1 2√(3)/3 1 + 3+1+2√(3)/3 1 = 3+1 2√(3)+3+1+2√(3)/2 =8/2 = 4 ...

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Byju's Answer

Standard IX

Mathematics

Operations on Irrational Number

The value of ...

Question

The value of $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1}$ is

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Solution

The correct option is C
4

$\frac{\sqrt{3} - 1}{\sqrt{3} + 1} \times \frac{\sqrt{3} - 1}{\sqrt{3} - 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1} \times \frac{\sqrt{3} + 1}{\sqrt{3} + 1}$
$= \frac{3 + 1 - 2 \sqrt{3}}{3 - 1} + \frac{3 + 1 + 2 \sqrt{3}}{3 - 1}$
$= \frac{3 + 1 - 2 \sqrt{3} + 3 + 1 + 2 \sqrt{3}}{2}$
$= \frac{8}{2} = 4$

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The value of √3−1√3+1+√3+1√3−1 is

The correct option is C 4 √3−1√3+1×√3−1√3−1+√3+1√3−1×√3+1√3+1 =3+1−2√33−1+3+1+2√33−1 =3+1−2√3+3+1+2√32 =82=4

The value of $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} + \frac{\sqrt{3} + 1}{\sqrt{3} - 1}$ is