Can anyone solve this question
Answers
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