Question
Simplify the expression
kk−k
Evaluate
1−k1
Reduce fractions to a common denominator
kk−k1
Write all numerators above the common denominator
kk−1
Multiply by the Conjugate
k×k(k−1)k
Calculate
k(k−1)k
Solution
More Steps

Evaluate
(k−1)k
Multiply each term in the parentheses by k
k×k−k
When a square root of an expression is multiplied by itself,the result is that expression
k−k
kk−k
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Find the roots
k=1
Evaluate
1−k1
To find the roots of the expression,set the expression equal to 0
1−k1=0
Find the domain
More Steps

Evaluate
{k≥0k=0
Calculate
{k≥0k=0
Find the intersection
k>0
1−k1=0,k>0
Calculate
1−k1=0
Subtract the terms
More Steps

Simplify
1−k1
Reduce fractions to a common denominator
kk−k1
Write all numerators above the common denominator
kk−1
kk−1=0
Cross multiply
k−1=k×0
Simplify the equation
k−1=0
Move the constant to the right-hand side and change its sign
k=1
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(k)2=12
Evaluate the power
k=1
Check if the solution is in the defined range
k=1,k>0
Solution
k=1
Show Solution
