RADICALS AND FRACTIONAL
EXPONENTS
- ^{3}√27 = 3 This ^{3}√27 symbol tells us to look for a
number which when multiplied by
itself 3 times will equal 27. We say verbally
that we want the cube root of 27. The 3 is called
the index and the 27 is the radicand. The symbol √
is called the radical sign.
What does ^{3}√8 =
answers
- ^{4}√16 = 2
The index 4 tells us that we are looking for the fourth root of 16. Meaning
that we are
looking for a number which
when multiplied by itself 4 times or raised to the 4th power equal
16.
2 is the answer because 2x2x2x2 =16. Or 2^{4} = 16
- ^{2}√16 = 4 This is read the square root of
16 is 4. By tradition we do not write the index 2 so the problem
will look like this
√16 = 4 What does: √36 =
answers
- Radicals can be written with fractional exponents instead of radical signs.
So ^{4}√16 can be written
16 ^{1/4} ^{3}√8 can be written
8^{1/3} The answers will be the same!
- All the rules that apply to whole number exponents
must also apply to fractional exponents.
So (t^{1/5} )(t^{2/5} ) = t^{1/5
+ 2/5} = t^{3/5}
Review rules of whole number exponents.
review
return