Question
Simplify the expression
16x3−39
Evaluate
2x2×8x−39
Solution
More Steps

Evaluate
2x2×8x
Multiply the terms
16x2×x
Multiply the terms with the same base by adding their exponents
16x2+1
Add the numbers
16x3
16x3−39
Show Solution

Find the roots
x=43156
Alternative Form
x≈1.345803
Evaluate
2x2×8x−39
To find the roots of the expression,set the expression equal to 0
2x2×8x−39=0
Multiply
More Steps

Multiply the terms
2x2×8x
Multiply the terms
16x2×x
Multiply the terms with the same base by adding their exponents
16x2+1
Add the numbers
16x3
16x3−39=0
Move the constant to the right-hand side and change its sign
16x3=0+39
Removing 0 doesn't change the value,so remove it from the expression
16x3=39
Divide both sides
1616x3=1639
Divide the numbers
x3=1639
Take the 3-th root on both sides of the equation
3x3=31639
Calculate
x=31639
Solution
More Steps

Evaluate
31639
To take a root of a fraction,take the root of the numerator and denominator separately
316339
Simplify the radical expression
More Steps

Evaluate
316
Write the expression as a product where the root of one of the factors can be evaluated
38×2
Write the number in exponential form with the base of 2
323×2
The root of a product is equal to the product of the roots of each factor
323×32
Reduce the index of the radical and exponent with 3
232
232339
Multiply by the Conjugate
232×322339×322
Simplify
232×322339×34
Multiply the numbers
More Steps

Evaluate
339×34
The product of roots with the same index is equal to the root of the product
339×4
Calculate the product
3156
232×3223156
Multiply the numbers
More Steps

Evaluate
232×322
Multiply the terms
2×2
Multiply the numbers
4
43156
x=43156
Alternative Form
x≈1.345803
Show Solution
