1 divided by 1+ sqr root 2 Rationalise the denominator in each expression
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We have to rationalize the denominator in 1 / ( 1 + sqrt 2)
This can be done by multiplying the numerator and denominator by (1 - sqrt 2). Using the relation (a - b)(a + b) = a^2 - b^2 gives a rational denominator
1 / ( 1 + sqrt 2)
=> (1 - sqrt 2) / ( 1 + sqrt 2)*(1 - sqrt 2)
=> (1 - sqrt 2) / ( 1^2 - (sqrt 2)^2)
=> (1 - sqrt 2) / ( 1 - 2)
=> (1 - sqrt 2) / -1
=> - (1 - sqrt 2)
=> sqrt 2 - 1
The required result is: sqrt 2 - 1
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calendarEducator since 2011
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The question asks us to rationalize the denominator in the expression 1 divided by 1 + sqrt 2.
=> 1/(1 + sqrt 2) * (1 - sqrt 2)/(1- sqrt 2)
=> (1- sqrt 2)/( 1-2)
=> (1 - sqrt 2)/-1
=> -1 + sqrt 2
The answer is -1 + sqrt 2.
the answer is 1.4142
now its simple coz, 1/1 gives u zero (0) and it is to be add with square root of 2
so 0+ square root of 2 will give u 1.4142
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