Question
Simplify the expression
xx
Evaluate
x×x21
Use the product rule an×am=an+m to simplify the expression
x1+21
Add the numbers
More Steps

Evaluate
1+21
Reduce fractions to a common denominator
22+21
Write all numerators above the common denominator
22+1
Add the numbers
23
x23
Use anm=nam to transform the expression
x3
Rewrite the exponent as a sum
x2+1
Use am+n=am×an to expand the expression
x2×x
The root of a product is equal to the product of the roots of each factor
x2×x
Solution
xx
Show Solution

Find the roots
x=0
Evaluate
x×x21
To find the roots of the expression,set the expression equal to 0
x×x21=0
Find the domain
x×x21=0,x≥0
Calculate
x×x21=0
Multiply the terms
More Steps

Evaluate
x×x21
Use the product rule an×am=an+m to simplify the expression
x1+21
Add the numbers
More Steps

Evaluate
1+21
Reduce fractions to a common denominator
22+21
Write all numerators above the common denominator
22+1
Add the numbers
23
x23
x23=0
The only way a root could be 0 is when the radicand equals 0
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution
