section 1
if n is odd..?
there is one real nth root of b
can u simplify 3root 6 • root 2?
no. the indexes are different
what are like radicals?
radical expressions that have the same index and radical
what is an example of the property a degrees = 1 ?
3 degrees =1
what is a radical equation ?
an equation that has a variable in a radicand or a variable with rational exponents ?
the + root is the ..?
principal root
what is root 24 simplified?
2 root 6
what is the simplest form of 3 root 5x - 2root5x?
root 5x
what is the simplified form of 64^1/2
8
to solve x^m/n =k what do you have to do?
raise each side to the power n/m
what are the real cube roots of -0.0002?
no real roots
what is the simplest form of root 50 x^6 / root 2x^4?
root 25x^2
what are root a + root b and root a - root b ?
conjugates
if the nth root of a is a real number then what is m?
m is the integer
what is an extraneous solution?
false statements when checking solutions
what are the real square roots of 36/121?
6/11
what are the steps to rationalizing the denominator?
1. split radical 2. rewrite with prime factor 3. divide factors to simplify 4. simplify
what is three root 2/ root five minus root two with a rationalized denominator ?
24 root 10
convert x^3/7 to radical form?
7 root x^3
what are the steps to solving radical equations?
1. isolate radicals 2. square both sides 3. set equal to 0 4. factor and solve
what is the simpler form of root 81x^4?
9x^2
what is 3 root 7x / 3 root 5y^2 simplified?
3 root 175xy/5y
what is two root 7/ root 3-root five
- root 21 - root 35
convert root a ^5 to exponential form?
a=5/2
what are the solutions to solving an equation with two radicals?
1. isolate more complex radicals
2. square both sides
3. set equal to 0
4. factor and solve