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.**

**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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**Q3.**Which of the following is the smallest fraction?\(\frac815\),\(\frac1433\),\(\frac713\),\(\frac1113\)

**Q7.**Consider the following numbers:1. Every irrational number is a actual number.2. Every actual number is rational number.3. Every reasonable number is a actual number.4. Every essence is a real number.Which that the above statements are correct?

**Q6.**What will be the ratio of the Least common Multiple and Highest usual Factor ofthe 10, 20 and 30?

**Q2.**A dealer marks an post 50% above the price price and also sells it to a customer enabling two succeeding discounts of 20% and also 15% ~ above the marked price. If he gains Rs. 400 top top the deal then the price price that the post is?

**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?

**Q5.**A human being spends 25% that his yearly income on residence rent. 15% on travelling and 45% on various things. If he saves Rs. 13500 annually, then the personal spending on assorted things is

**Q6.**The root of the equation x2 + px + q = 0 room 1 and 2. The root of the equation qx2 - px + 1 = 0 have to be:

**Q7.**In a mixture that 280 litres, milk and water space in the proportion 4:3. If the proportion is compelled to it is in 1:2, then how many litres that water is to it is in added?

**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)

**Q9.**If the SI top top a particular Sum as soon as invested in ~ 12% every annum for 3 years is Rs. 1440, then find the amount acquired on the exact same sum if that is invest at 10% compounded every year for 2 years.

**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?