conjugate sum se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
5 questions tagged with conjugate sum.
What is the value of \( \frac{1}{3+\sqrt{8}}+\frac{1}{3-\sqrt{8}} \)?
A. (6)
समान हर (9-8=1) और अंश \(3-\sqrt{8}+3+\sqrt{8}=6\) है। इसलिए मान (6) है। / The common denominator is (9-8=1), and the numerator is \(3-\sqrt{8}+3+\sqrt{8}=6\). Therefore the value is (6).
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What is the value of \( \frac{1}{\sqrt{13}+2}+\frac{1}{\sqrt{13}-2} \)?
A. \( \frac{2\sqrt{13}}{9} \)
समान हर (13-4=9) और अंश \(2\sqrt{13}\) है। इसलिए मान \( \frac{2\sqrt{13}}{9} \) है। / The common denominator is (13-4=9), and the numerator is \(2\sqrt{13}\). Therefore the value is \( \frac{2\sqrt{13}}{9} \).
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What is the value of \( \left(\frac{1}{5-\sqrt{21}}\right)+\left(\frac{1}{5+\sqrt{21}}\right) \)?
A. \( \frac{5}{2} \)
समान हर \(25-21=4\) और अंश (10) है। इसलिए मान \( \frac{10}{4}=\frac{5}{2} \) है। / The common denominator is \(25-21=4\), and the numerator is (10). So the value is \( \frac{10}{4}=\frac{5}{2} \).
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What is the value of \( \frac{1}{2+\sqrt{3}}+\frac{1}{2-\sqrt{3}} \)?
A. (4)
समान हर (4-3=1) और अंश \(2-\sqrt{3}+2+\sqrt{3}=4\) है। इसलिए मान (4) है। / The common denominator is (4-3=1), and the numerator is \(2-\sqrt{3}+2+\sqrt{3}=4\). Therefore the value is (4).
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What is the value of \( \left(\frac{1}{3-\sqrt{7}}\right)+\left(\frac{1}{3+\sqrt{7}}\right) \)?
A. (3)
समान हर \(9-7=2\) और अंश \(3+\sqrt{7}+3-\sqrt{7}=6\) है। इसलिए मान \( \frac{6}{2}=3 \) है। / The common denominator is \(9-7=2\), and the numerator is \(3+\sqrt{7}+3-\sqrt{7}=6\). So the value is \( \frac{6}{2}=3 \).
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