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Which number is equal to (\frac... | 5: Irrational numb...
कौन-सी संख्या \(\frac{2}{\sqrt{2}+1}\) के बराबर है?
Which number is equal to \(\frac{2}{\sqrt{2}+1}\)?
#rationalization
#denominator
#conjugate
#class 10
A \(2\sqrt{2}-2\)
B \(2\sqrt{2}+2\)
C \(\sqrt{2}-1\)
D \(\sqrt{2}+1\)
Explanation opens after your attempt
Correct Answer
A. \(2\sqrt{2}-2\)
Step 1
Concept
The conjugate of the denominator is \(\sqrt{2}-1\).
Step 2
Why this answer is correct
(\frac{2}{\sqrt{2}+1}\times\frac{\sqrt{2}-1}{\sqrt{2}-1}=\frac{2\(\sqrt{2}-1\)}{2-1}=2\sqrt{2}-2).
Step 3
Exam Tip
Choosing the correct conjugate sign is very important. चरण 1: हर का संयुग्मी \(\sqrt{2}-1\) है। चरण 2: (\frac{2}{\sqrt{2}+1}\times\frac{\sqrt{2}-1}{\sqrt{2}-1}=\frac{2\(\sqrt{2}-1\)}{2-1}=2\sqrt{2}-2)। चरण 3: संयुग्मी का सही चिह्न चुनना बहुत जरूरी है।
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