How do you rationalize the denominator and simplify sqrt(245/3)?

1 Answer
Shwetank Mauria
Jul 11, 2016

sqrt(245/3)=(7sqrt15)/3

Explanation:

sqrt(245/3)=sqrt245/sqrt3

As we have sqrt3 in denominator, we need to multiply it by sqrt3, that will make the denominator sqrt9=3 and thus rationalise the denominator. But as we multiply denominator by sqrt3. we should also multiply numerator by sqrt3. Hence,

sqrt(245/3)=sqrt245/sqrt3

= (sqrt245×sqrt3)/(sqrt3×sqrt3

= sqrt735/3

= sqrt(3×5×ul(7×7))/3

= (7sqrt15)/3

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