Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
k12
Evaluate
k2144
To take a root of a fraction,take the root of the numerator and denominator separately
k2144
Simplify the radical expression
More Steps
Evaluate
144
Write the number in exponential form with the base of 12
122
Reduce the index of the radical and exponent with 2
12
k212
Solution
k12
Show Solution
Find the roots
k∈∅
Evaluate
k2144
To find the roots of the expression,set the expression equal to 0
k2144=0
Find the domain
More Steps
Evaluate
{k2=0k2144≥0
The only way a power can not be 0 is when the base not equals 0
{k=0k2144≥0
Since the left-hand side is always positive,and the right-hand side is always 0,the statement is true for any value of k
{k=0k∈R
Find the intersection
k=0
k2144=0,k=0
Calculate
k2144=0
Simplify the root
More Steps
Evaluate
k2144
To take a root of a fraction,take the root of the numerator and denominator separately
k2144
Simplify the radical expression
More Steps
Evaluate
144
Write the number in exponential form with the base of 12
122
Reduce the index of the radical and exponent with 2
12
k212
Simplify the radical expression
∣k∣12
∣k∣12=0
Cross multiply
12=∣k∣×0
Simplify the equation
12=0
Solution
k∈∅
Show Solution