Q5 of 21 Page 64

Find three fractions larger than √2 and less than √3.

→ Say, in general a is a fraction such that,


√2<a< √3[note, a>0]


⇒


⇒,for k being a natural number.


So, for a particular k, our job is to find a perfect square(of a fraction) between and .


Put, k = 2,3,5 (as three fractions are asked,three primes are chosen, else, like the case of k = 2 and k = 4 same fraction a may occur) – – –


●




[ 0]


●




●


⇒


]


●




So, the three fractions are:



More from this chapter

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3

We have seen in Class 7 that any odd number can be written as the difference of two perfect squares. (The lesson, Identities) Usingthis, draw lines of lengths centimetres.

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Explain two different methods of drawing a line of length centimetres.

1

The hypotenuse of a right triangle is metres and another side is metre. Calculate its perimeter correct to a centimetre.

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The picture shows an equilateral triangle cut into halves by a line through vertex.


i) What is the perimeter of a part?


ii) How much less than the perimeter of the whole triangle is this?