Complex Numbers and Rational Exponents quiz # 1

when adding or subtracting radicals what must you have ?

like terms

5x+ 8x

& the number inside the root ( radicand) must be the same

\

when multiplying or dividing radical the radical must have the …

same index(

number over the radical part that looks like a check)

and then you multiply the numbers outside the radicals together and then the numbers inside the radicals together

can you multiply or divide radicals when they have diffrent indexes ?

NO they must have the same index in order to multiply or divide

when you multiply a radical by an exact same type of radical what is the product?

the product is the number inside the radical expressed as a whole number

ex: square root of 2 times square root of 2 is 2

what do you have to remember when adding or subtracting radicals ?

you can only do so when the number under the radical symbol is the same but sometimes you have to simply in order to get the same number under the radical and complete the math operation

when radical expressions are raised to the second power what does that mean?

ex (3 + square root of 2)^2

multiply the expression by its self

ex: (3 + square root of 2)^2 =

3 + square root of 2) \* 3 + square root of 2) -→ to solve foil