Question
Solve the equation
x=2330
Alternative Form
x≈1.553616
Evaluate
8×2x3=60
Multiply the numbers
16x3=60
Divide both sides
1616x3=1660
Divide the numbers
x3=1660
Cancel out the common factor 4
x3=415
Take the 3-th root on both sides of the equation
3x3=3415
Calculate
x=3415
Solution
More Steps

Evaluate
3415
To take a root of a fraction,take the root of the numerator and denominator separately
34315
Multiply by the Conjugate
34×342315×342
Simplify
34×342315×232
Multiply the numbers
More Steps

Evaluate
315×232
Multiply the terms
330×2
Use the commutative property to reorder the terms
2330
34×3422330
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
222330
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2330
x=2330
Alternative Form
x≈1.553616
Show Solution
