What is the rationalizing factor of 2 plus root 3​

Question

What is the rationalizing factor of

2 plus root 3​

in progress 0
Aubrey 2 months 2021-08-12T16:16:45+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-12T16:17:59+00:00

    The rationalising factor of 2+√3 is 2-√3

    0
    2021-08-12T16:18:03+00:00

    Answer:

    Rationalization factor of √2 + √3 is √2 – √3.

    Step-by-step explanation:

    When the denominator of an expression is a surd which can be reduced to an expression with the rational denominator, this process is called as rationalizing. When the product of two surds is a rational number, then each surd of the two surds is called as rationalizing each other.

    (

    a

    b

    )(

    a

    +

    b

    )

    a

    +

    b

    =

    (

    a

    )

    2

    −(

    b

    )

    2

    a

    +

    b

    =

    a−b

    a

    +

    b

    So, the rationalizing factor will be

    (

    2

    −1)(

    2

    +1)

    2

    +1

    =

    1

    2

    +1

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