Irrational number is a number which can not be expressed together a simple fraction i.e., its decimal type is no terminating.

You are watching: An irrational number between 5 and 7

Calculation:

Let some number in between 5 to 7 is:

5.1234567...... , 5.5765876...., 6.12343567... And also so on

∴ There are unlimited irrational number is lie between 5 and 7.


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Q1. Find the best of the following numbers:\(\sqrt 5 - \sqrt 3 ,\sqrt 7 - \sqrt 5 ,\sqrt 9 - \sqrt 7 ,\sqrt 11 - \sqrt 9 \)
Q2. The denominator of a rational number is greater than its numerator by 8. If the numerator is enhanced by 17 and the denominator is boosted by 1, the number i do not care 3/2. Find the reasonable number.

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Q4. For which value(s) that λ, execute the pair of linear equations λx + y = λ2 and x + λy = 2 can't have actually a distinctive solution?
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Q8. Find the worth of k because that which the following systems the equations have infinitely many solutions:7x + 4y = 2(3k + 2)x + (2k + 8)y = 3(k - 4)
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Q10. An short article is sold for Rs. 3000 in ~ a lose of 25 percent. What should be the marketing price to obtain 15 percent?