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To rationalize the denominator, multiply the numerator and denominator by a radical that will get rid of the radical in the denominator.
sqrt(2)/2
To rationalize a radical expression in the denominator of a fraction, we have to multiply it by a fraction equivalent to 1 such that the resulting denominator is a rational number. Remember that we have to multiply both the numerator and the denominator. Consider the following for any rational numbers a and b.
a/sqrt(b)=a/sqrt(b)*sqrt(b)/sqrt(b)=a sqrt(b)/b
Multiply fractions
sqrt(a)* sqrt(a)= a
Note, that we can simplify this expression further.
Split into factors
sqrt(a* b)=sqrt(a)*sqrt(b)
Calculate root
Multiply
a/b=.a /9./.b /9.
The simplest form of the expression is sqrt(2)2.