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```Chapter 3: Rationalisation Exercise – 3.1

Question: 1

Simplify each of the following:

Solution:

= (43)1/3

= 4(3 × 1/3)

= 41

= 4

= 15(4×1/4)

= 15

Question: 2

Simplify the following expressions:

Solution:

Question: 3

Simplify the following expressions:

Solution:

As we know, (a + b) (a - b) = (a2 − b2)

So, 112 - 11

121 - 11 = 110

As we know, (a + b) (a - b) = (a2 − b2)

So, 52 - 7

25 - 7 = 18

As we know, (a + b) (a - b) = (a2 − b2)

= 6

As we know, (a + b) (a - b) = (a2 − b2)

= 6

As we know, (a + b) (a - b) = (a2 − b2)

= 5 - 2

= 3

Question: 4

Simplify the following expressions:

Solution:

As we know, (a + b)2 = (a2 + 2 × a × b + b2)

As we know, (a - b)2  = (a2 − 2 × a × b + b2)

As we know, (a + b)2 = (a2 + 2 × a × b + b2)

```

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