Math, asked by Mjdutta214, 1 year ago

5 questions of rationalise the denominator 1 marks


eswarivelan: sry where is the 5 question

Answers

Answered by eswarivelan
1

Answer:

1. Rationalize 111√.

2. Rationalize 121√.

3. Rationalize 139√.

4. Rationalize 14+10√.

5. Rationalize 16√−5√.

Step-b-step explanation:

i took these from my guide.

1.Since the given fraction has an irrational denominator, so we need to rationalize this and make it more simple. So, to rationalize this, we will multiply the numerator and denominator of the given fraction by root 11, i.e., √11.So,

111√ × 11√11√

⟹ 11√11

So, the required rationalized form of the given denominator is:

11√11.

Solution: 2

The given fraction has an irrational denominator. So, we need to make it simple by rationalizing the given denominator. To do so, we’ll have to multiply and divide the given fraction by root 21, i.e., √21.So,

121√× 21√21√

⟹21√21

So the required rationalized fraction is:

21√21

3. Since the given fraction has an irrational denominator in it. So, to make the calculations more easy we need to make it simple and hence we need to rationalize the denominator. To do so, we’ll have to multiply both the numerator and denominator of the fraction with root 39, i.e., √39. So,

139√× 39√39√

⟹3939√

So, the required rationalized fraction is:

3939√.

4. The given fraction consists of irrational denominator. To make the calculations more simplified we will have to rationalize the denominator of the given fraction. To do so, we’ll have to multiply both numerator and denominator by conjugate of the given denominator, i.e., 4−10√4−10√. So,

14+10√× 4−10√4−10√

⟹4−10√42−102√

{(a+ b)(a-b) = (a)2 - (b)2}

⟹4−10√16−10

⟹ 4−10√6

So the required rationalized fraction is:

4−10√6.

5.The given fraction consists of irrational denominator. To make the calculations more simplified we will have to rationalize the denominator of the given fraction. To do so, we’ll have to multiply both numerator and denominator by conjugate of the given denominator, i.e., 4−10√4−10√. So,

14+10√× 4−10√4−10√

⟹4−10√42−102√

{(a+ b)(a-b) = (a)2 - (b)2}

⟹4−10√16−10

⟹ 4−10√6

So the required rationalized fraction is:

4−10√6.

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