In Exercises 45–54, rationalize the denominator. 2/√10

Question

Accepted Answer

Hey everyone here we are asked to rationalize and simplify the expression one divided by the square root of eight. Now the rationalization is done by multiplying by the square root of eight divided by the square root of eight. And this is possible because this term is just equal to one And this successfully removes the square root from the denominator. So our expression is now the square root of eight divided by eight. Now the square root of eight can be further reduced by thinking of it as two times four, which allows us to remove the perfect square four from the square root, which gives us the reduced form of two times the square root of two divided by eight. And this here can be further reduced by dividing the numerator and the denominator by two, which gives us our final answer of the square root of two divided by four, which is choice B. Thank you for watching. I hope you found this video helpful and I'll see you again next time.

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