Simplifying radicals with variables in algebra 1 would require you to consider factors like cubed roots. Simplify radicals with variables in algebra 1 with help from an experienced mathematics professional in this free video clip.

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Simplifying radicals with variables in algebra 1 would require you to consider factors like cubed roots. Simplify radicals with variables in algebra 1 with help from an experienced mathematics professional in this free video clip.

Part of the Video Series: Trigonometry, Graphs, & Other Math Tips

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My name is Walter Unglaub, and this is how to simplify radicals with variables in algebra 1. So given a general radical expression the b root of a, we can rewrite this expressions as a raised to 1 over b. So for example when b is equal to 2 we're taking the square root of a. If we wanted to simplify a slightly more complicated expression such as a is equal to 8c raised to the 4th power, where c is a variable, and if we consider b as equal to 3 then we can write the cube root of a is equal to the cube root of 8 times c to the 4th. And this becomes 8 times c to the 4th raised to the 1/3rd power. So we can recognize that the 8 can be rewritten as 2 raised to the power 3 or 2 cubed. So we have 2 cubed raised to the 1/3rd power times c to the 4th power raised to the 1/3rd. Then this simplifies to 2, 3 divided 3, which is just 1 times c raised to 4/3rds. So finally we just get 2 times c times the cube root of c. My name is Walter Unglaub and this is how to simplify radicals with variables in algebra 1.