Question
Simplify the expression
nn
Evaluate
n21×n
Use the product rule an×am=an+m to simplify the expression
n21+1
Add the numbers
More Steps

Evaluate
21+1
Reduce fractions to a common denominator
21+22
Write all numerators above the common denominator
21+2
Add the numbers
23
n23
Use anm=nam to transform the expression
n3
Rewrite the exponent as a sum
n2+1
Use am+n=am×an to expand the expression
n2×n
The root of a product is equal to the product of the roots of each factor
n2×n
Solution
nn
Show Solution

Find the roots
n=0
Evaluate
n21×n
To find the roots of the expression,set the expression equal to 0
n21×n=0
Find the domain
n21×n=0,n≥0
Calculate
n21×n=0
Multiply the terms
More Steps

Evaluate
n21×n
Use the product rule an×am=an+m to simplify the expression
n21+1
Add the numbers
More Steps

Evaluate
21+1
Reduce fractions to a common denominator
21+22
Write all numerators above the common denominator
21+2
Add the numbers
23
n23
n23=0
The only way a root could be 0 is when the radicand equals 0
n=0
Check if the solution is in the defined range
n=0,n≥0
Solution
n=0
Show Solution
