Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x2x
Evaluate
3x2(x21)
Rewrite the expression
3x2×x21
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
3x25
Use anm=nam to transform the expression
3x5
Solution
More Steps
Evaluate
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
Reduce the index of the radical and exponent with 2
x2x
3x2x
Show Solution
Find the roots
x=0
Evaluate
(3x2)(x21)
To find the roots of the expression,set the expression equal to 0
(3x2)(x21)=0
Find the domain
(3x2)(x21)=0,x≥0
Calculate
(3x2)(x21)=0
Multiply the terms
3x2(x21)=0
Calculate
3x2×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
3x25=0
Rewrite the expression
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