Question

Simplify. 8√2 / 6-3√8

Answer 1

 The rationalized expression in general term is given by: (-8 -4√2) / 3

What is rationalization?

  Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.

  As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.

(8√2 / 6-3√8 ) Multiply by  ( 6+3√8)/( 6+3√8)

(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)

8√2(6+3√8) / (6-3√8)²  Expand the denominator using the FOIL method.

8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)

8√2(6+3√8) / -36

48√2 + 24√2√8 / -36  ::::.   √8 = 2√2

48√2 + 96 / -36

-12(4√2 + 8) / 12x3

(-8 -4√2) / 3 is the result.

Learn more about rationalization in:

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