Transcript
Radical expressions with the same index can be added subtracted, multiplied, or divided.• You can multiply or divide if the indices are not the same, but it is quite difficult.
• To add or subtract, you must have like radicals.
Examples:
Operations with Radicals
20 53 324 81x x
3 24 44 12x x3 340 5
• When the problem is written with rational exponents or radicals that don’t have the same indices, you will need to know the exponent rules below to simplify the problem.
Operations with Rational Exponents
Extra: Rewriting Using Positive Exponents
25 12 85 243x y z 1 25 12 8
5 5 5 5243 x y z
12
5 5
8
5
3x y
z
Extra: Rewriting Without a Square Root
63
764x
Which expression is equivalent to ?
a)
b)
c)
d)
2
74x18
74x2
764x1864x