Question
Simplify the expression
15×x2
Evaluate
5x2×3x2
Multiply
More Steps

Multiply the terms
5x2×3x2
Multiply the terms
15x2×x2
Multiply the terms with the same base by adding their exponents
15x2+2
Add the numbers
15x4
15x4
Reorder the terms
x4×15
The root of a product is equal to the product of the roots of each factor
x4×15
Solution
15×x2
Show Solution

Find the roots
x=0
Evaluate
5x2×3x2
To find the roots of the expression,set the expression equal to 0
5x2×3x2=0
Find the domain
More Steps

Evaluate
5x2×3x2≥0
Multiply
More Steps

Evaluate
5x2×3x2
Multiply the terms
15x2×x2
Multiply the terms with the same base by adding their exponents
15x2+2
Add the numbers
15x4
15x4≥0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of x
x∈R
5x2×3x2=0,x∈R
Calculate
5x2×3x2=0
Multiply
More Steps

Multiply the terms
5x2×3x2
Multiply the terms
15x2×x2
Multiply the terms with the same base by adding their exponents
15x2+2
Add the numbers
15x4
15x4=0
Simplify the root
More Steps

Evaluate
15x4
Reorder the terms
x4×15
The root of a product is equal to the product of the roots of each factor
x4×15
Reduce the index of the radical and exponent with 2
15×x2
15×x2=0
Rewrite the expression
x2=0
Solution
x=0
Show Solution
