Question :
x^2× x^1/2
x2×x1/2
Simplify the expression
x2x
Evaluate
x2×x21
Use the product rule an×am=an+m to simplify the expression
x2+21
Add the numbers
More Steps

Evaluate
2+21
Reduce fractions to a common denominator
22×2+21
Write all numerators above the common denominator
22×2+1
Multiply the numbers
24+1
Add the numbers
25
x25
Use anm=nam to transform the expression
x5
Rewrite the exponent as a sum
x4+1
Use am+n=am×an to expand the expression
x4×x
The root of a product is equal to the product of the roots of each factor
x4×x
Solution
x2x
Show Solution

Find the roots
x=0
Evaluate
x2×x21
To find the roots of the expression,set the expression equal to 0
x2×x21=0
Find the domain
x2×x21=0,x≥0
Calculate
x2×x21=0
Multiply the terms
More Steps

Evaluate
x2×x21
Use the product rule an×am=an+m to simplify the expression
x2+21
Add the numbers
More Steps

Evaluate
2+21
Reduce fractions to a common denominator
22×2+21
Write all numerators above the common denominator
22×2+1
Multiply the numbers
24+1
Add the numbers
25
x25
x25=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
