Simplifying Radicals
Operations With Radicals
Rational Exponents
Solving Radicals
Graphs
100
sqrt4
2
100
(sqrt3)^2
3
100
Re-write as a radical:
x^(1/3)
root(3)(x)
100
sqrtx=3
x = 9
100
What is the domain of the function:
f(x)=sqrt(x)
x>=0
200
sqrt(225)
15
200
sqrt2 xxsqrt3
sqrt6
200
Rewrite in exponential form:
x^(3/4)
root(4)(x^3)
or
(root(4)(x))^3
200
sqrt(x+4)=5
x = 21
200
What is the domain of this function?
f(x)=sqrt(x+1)
x>=-1
300
sqrt(8)
2sqrt2
300
sqrt3xxsqrt100xx2sqrt5
20sqrt15
300
Simplify
x^(5/3)/x^(2/3)
x
300
root(3)(x+1)=3
x = 26
300
What is the domain of this function:
f(x)=root(3)(x-2)
All real numbers
400
sqrt24
2sqrt6
400
(3sqrt5)(sqrt12)(sqrt2)
6sqrt30
400
Write your answer in exponential format:
(x^(1/2))^(3/5)
x^(3/10)
400
2sqrt(x+3)-1=1
x = -2
400
What is the domain of this function:
f(x)=2sqrt(x+6)
x>=-6
500
sqrt490
7sqrt10
500
sqrt2 + sqrt6
Does not simplify. Stays as
sqrt2 + sqrt6
500
Write your answer in exponential format
(x^(2/3))(root(5)(x))
x^(13/15)
500
Find the value of x that provides a positive answer.
x = 23
500
What is the domain of this function:
f(x)=3sqrt(x+5)-2
x>=-5