Rationalize the denominator 1/√7 + √2
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On rationalising the
Denominator of 1/√7 + √2 we get ,
√7 - √2 / 5
______________________________
Explanation-:
Given,
1/√7 + √2
To ,
Rationalise the denominator.
_______________________________
Now ,
1/√7 + √2
To rationalise the denominator we have
to multiply the both numerator and
denominator by (√7 - √2)
1 x √7 - √2 / (√7 + √2 ) x (√7 - √2)
√7 - √2 / (√7 + √2 ) x (√7 - √2)
Now ,
apply the formula (a - b)(a + b) =
a^2 - b^2 in the denominator to get
√7 - √2 / (√7 + √2 ) x (√7 - √2)
√7 - √2 / (√7 + √2 )^2
√7 - √2 / 7 - 2
√7 - √2 / 5
Therefore,
We conclude that on rationalising the
Denominator of 1/√7 + √2 we get ,
√7 - √2 / 5
_______________________________
Rationalising the denominator-:A
fraction whose denominator is
unsimplified can be simplified by
making the denominator rational . This
process is called rationalising the
denominator.
_______________________________
On rationalising the
Denominator of 1/√7 + √2 we get ,
√7 - √2 / 5
______________________________
Explanation-:
Given,
1/√7 + √2
To ,
Rationalise the denominator.
_______________________________
Now ,
1/√7 + √2
To rationalise the denominator we have
to multiply the both numerator and
denominator by (√7 - √2)
1 x √7 - √2 / (√7 + √2 ) x (√7 - √2)
√7 - √2 / (√7 + √2 ) x (√7 - √2)
Now ,
apply the formula (a - b)(a + b) =
a^2 - b^2 in the denominator to get
√7 - √2 / (√7 + √2 ) x (√7 - √2)
√7 - √2 / (√7 + √2 )^2
√7 - √2 / 7 - 2
√7 - √2 / 5
Therefore,
We conclude that on rationalising the
Denominator of 1/√7 + √2 we get ,
√7 - √2 / 5
_______________________________
Rationalising the denominator-:A
fraction whose denominator is
unsimplified can be simplified by
making the denominator rational . This
process is called rationalising the
denominator.
_______________________________
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