Question

Rational the denominator of 1/√2​

Answer 1

Answer:

√2/2

Step-by-step explanation:

As per the provided information in the given question, we have to rationalise the denominator of the fraction :

$\longmapsto \rm {\dfrac{1}{\sqrt{2}} }$

Rationalising factor of √2 is √2. So, multiplying √2 with both the numerator and the denominator.

$\longmapsto \rm {\dfrac{1}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}}}$

Rearranging the terms.

$\longmapsto \rm {\dfrac{1(\sqrt{2})}{(\sqrt{2})^2} }$

Performing multiplication and writing the square of the numbers in the denominator.

$\longmapsto\underline{\boxed{ \bf {\dfrac{\sqrt{2}}{2} }}}$

Hence, rationalised!

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How to rationalise the denominator?

• Firstly, we find the rationalising factor of the denominator. (Rationalising factor is such terms which is when multiplied with the numerator, the denominator becomes rational.)

• Then, we multiply the rationalising factor with both the numerator.

• After that, by solving further directly or by using identities, we rationalise the denominator.

Points to remember :

• (a + b) and (a – b) are R.F of each other.
• √a and √a are R.F of each other.

Answer 2

Answer:

Solution steps refers to the attached file.