It is called rationalizing the denominator, and it is done by multiplying numerator and denominator by appropriate numbers. Note that if you do that, you will usually end up with radicals in the numerator.
Examples:
1 / (square root of 2): Multiply numerator and denominator by the square root of 2.
1 / (square root of 2 + square root of 3): Multiply numerator and denominator by (square root of 2 - square root of 3).
It is called rationalising the denominator.
"rationalizing" the denominator
Simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots and such left to find. It also means removing any radicals in the denominator of a fraction.
1
Exponential fractions are basically the inverse of radicals. When you have an exponent use the denominator for the index of the radical and the numerator as the exponent to your base number. Example: 2 ^ 1/2 would be set up as the square root of 2 to the power of one. Solve the radical expression and that would be your answer.
It is called rationalising the denominator.
It is called rationalising the denominator.
It is called rationalisation [of the denominator].
does it stay a fraction
No. One of the rules for "simplest form" is that there may be no radical in the denominator. To fix this, multiply top and bottom of the fraction by the radical denominator. For example, ( 1 / √2) = (1 / √2)(√2 / √2) = (√2 / 2)
"rationalizing" the denominator
It isn't clear what, exactly, you want to achieve. To write a fraction in standard form, it is customary to leave no radical in the denominator; in this case, for example, if you have square root of 2 in the denominator, you would multiply top and bottom by square root of 2, precisely to get rid of the radical in the denominator.
Start by finding a common denominator. If the radical includes the entire fraction (3/4 for the first part), the common denominator would be square root of 12.
To eliminate the radical in the denominator.
when there is no radical in the denominator
Rationalise the denominator.
Rationalising the denominator.