Question

rationalise the denominator 3/√7-2

Answer 1

Answer:

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Algebra

 

Rationalize the Denominator 3/(7+ square root of 2)

37+√237+2

Multiply 37+√237+2 by 7−√27−√27-27-2.

37+√2⋅7−√27−√237+2⋅7-27-2

Multiply 37+√237+2 and 7−√27−√27-27-2.

3(7−√2)(7+√2)(7−√2)3(7-2)(7+2)(7-2)

Expand the denominator using the FOIL method.

3(7−√2)49−7√2+√2⋅7−√223(7-2)49-72+2⋅7-22

Simplify.

3(7−√2)473(7-2)47

The result can be shown in multiple forms.

Exact Form:

3(7−√2)473(7-2)47

Decimal Form:

0.35653955…0.35653955…

Step-by-step explanation:

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