Math, asked by Mahigoidani, 8 months ago

Can anyone solve this question

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Answers

Answered by PeepingMoon
5

Answer:

Rationalize the denominator of

8+

6

8−

6

≈0.531175243 by multiplying numerator and denominator by 8−

6

≈5.550510257.

(8+

6

)(8−

6

)

(8−

6

)(8−

6

)

≈0.531175243

Consider (8+

6

)(8−

6

)≈58. Multiplication can be transformed into difference of squares using the rule: (a−b)(a+b)=a

2

−b

2

.

8

2

−(

6

)

2

(8−

6

)(8−

6

)

≈0.531175243

Square 8. Square

6

≈2.449489743.

64−6

(8−

6

)(8−

6

)

≈0.531175243

Subtract 6 from 64 to get 58.

58

(8−

6

)(8−

6

)

≈0.531175243

Multiply 8−

6

≈5.550510257 and 8−

6

≈5.550510257 to get (8−

6

)

2

≈30.808164115.

58

(8−

6

)

2

≈0.531175243

Use binomial theorem (a−b)

2

=a

2

−2ab+b

2

to expand (8−

6

)

2

≈30.808164115.

58

64−16

6

+(

6

)

2

≈0.531175243

The square of

6

≈2.449489743 is 6.

58

64−16

6

+6

≈0.531175243

Add 64 and 6 to get 70.

58

70−16

6

≈0.531175243

Step-by-step explanation:

Hope it helps

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