Question
Simplify the expression
223×x
Evaluate
92x2
Write the expression as a product where the root of one of the factors can be evaluated
4×23x2
Write the number in exponential form with the base of 2
22×23x2
Reorder the terms
22x2×23
The root of a product is equal to the product of the roots of each factor
22x2×23
Solution
223×x
Show Solution

Find the roots
x=0
Evaluate
92x2
To find the roots of the expression,set the expression equal to 0
92x2=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
92x2=0,x∈R
Calculate
92x2=0
Simplify the root
More Steps

Evaluate
92x2
Write the expression as a product where the root of one of the factors can be evaluated
4×23x2
Write the number in exponential form with the base of 2
22×23x2
Reorder the terms
22x2×23
The root of a product is equal to the product of the roots of each factor
22x2×23
Reduce the index of the radical and exponent with 2
223×∣x∣
223×∣x∣=0
Rewrite the expression
∣x∣=0
Solution
x=0
Show Solution
