Question
Simplify the expression
24x3−5
Evaluate
2x2×12x−5
Solution
More Steps

Evaluate
2x2×12x
Multiply the terms
24x2×x
Multiply the terms with the same base by adding their exponents
24x2+1
Add the numbers
24x3
24x3−5
Show Solution

Find the roots
x=6345
Alternative Form
x≈0.592816
Evaluate
2x2×12x−5
To find the roots of the expression,set the expression equal to 0
2x2×12x−5=0
Multiply
More Steps

Multiply the terms
2x2×12x
Multiply the terms
24x2×x
Multiply the terms with the same base by adding their exponents
24x2+1
Add the numbers
24x3
24x3−5=0
Move the constant to the right-hand side and change its sign
24x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
24x3=5
Divide both sides
2424x3=245
Divide the numbers
x3=245
Take the 3-th root on both sides of the equation
3x3=3245
Calculate
x=3245
Solution
More Steps

Evaluate
3245
To take a root of a fraction,take the root of the numerator and denominator separately
32435
Simplify the radical expression
More Steps

Evaluate
324
Write the expression as a product where the root of one of the factors can be evaluated
38×3
Write the number in exponential form with the base of 2
323×3
The root of a product is equal to the product of the roots of each factor
323×33
Reduce the index of the radical and exponent with 3
233
23335
Multiply by the Conjugate
233×33235×332
Simplify
233×33235×39
Multiply the numbers
More Steps

Evaluate
35×39
The product of roots with the same index is equal to the root of the product
35×9
Calculate the product
345
233×332345
Multiply the numbers
More Steps

Evaluate
233×332
Multiply the terms
2×3
Multiply the terms
6
6345
x=6345
Alternative Form
x≈0.592816
Show Solution
