Question
Simplify the expression
43a
Evaluate
9a×4a
Simplify the root
More Steps

Evaluate
9a
Rewrite the exponent as a sum
32a
The root of a product is equal to the product of the roots of each factor
32×a
Reduce the index of the radical and exponent with 2
3a
3a×4a
Multiply the terms
43a×a
Solution
43a
Show Solution

Find the roots
a=0
Evaluate
9a×4a
To find the roots of the expression,set the expression equal to 0
9a×4a=0
Find the domain
More Steps

Evaluate
{9a≥0a≥0
Calculate
{a≥0a≥0
Find the intersection
a≥0
9a×4a=0,a≥0
Calculate
9a×4a=0
Simplify the root
More Steps

Evaluate
9a
Rewrite the exponent as a sum
32a
The root of a product is equal to the product of the roots of each factor
32×a
Reduce the index of the radical and exponent with 2
3a
3a×4a=0
Multiply the terms
More Steps

Multiply the terms
3a×4a
Multiply the terms
43a×a
Calculate the product
43a
43a=0
Simplify
3a=0
Rewrite the expression
a=0
Check if the solution is in the defined range
a=0,a≥0
Solution
a=0
Show Solution
