You can put this solution on YOUR website! (2)/(5~(2))
To rationalize the denominator of a fraction, rewrite the fraction so that the new fraction has the same value as the original and has a rational denominator. The factor to multiply by should be an expression that will eliminate the radical in the denominator. In this case, the expression that will eliminate the radical in the denominator is (~(2))/(~(2)).
(2)/(5~(2))*(~(2))/(~(2))
To eliminate the radical from the denominator, multiply ~(2) by ~(2) to get 2.
(2*~(2))/(5*2)
Multiply 2 by ~(2) to get 2~(2).
(2~(2))/(5*2)
Multiply 5 by 2 to get 10.
(2~(2))/(10)
Reduce the expression (2~(2))/(10) by removing a factor of 2 from the numerator and denominator.
(~(2))/(5)
You can put this solution on YOUR website! Rationalize the denominator and simplify
2/5sqrt(2)
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Multiply numerator and denominator by sqrt(2) to get:
(2sqrt(2))/(5*2)
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= (1/5)sqrt(2)
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Cheers,
Stan H.
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