Question
Solve the equation
x=23374060
Alternative Form
x≈1.825857
Evaluate
140=23x×x2
Multiply
More Steps

Evaluate
23x×x2
Multiply the terms with the same base by adding their exponents
23x1+2
Add the numbers
23x3
140=23x3
Swap the sides of the equation
23x3=140
Divide both sides
2323x3=23140
Divide the numbers
x3=23140
Take the 3-th root on both sides of the equation
3x3=323140
Calculate
x=323140
Solution
More Steps

Evaluate
323140
To take a root of a fraction,take the root of the numerator and denominator separately
3233140
Multiply by the Conjugate
323×32323140×3232
Simplify
323×32323140×3529
Multiply the numbers
More Steps

Evaluate
3140×3529
The product of roots with the same index is equal to the root of the product
3140×529
Calculate the product
374060
323×3232374060
Multiply the numbers
More Steps

Evaluate
323×3232
The product of roots with the same index is equal to the root of the product
323×232
Calculate the product
3233
Reduce the index of the radical and exponent with 3
23
23374060
x=23374060
Alternative Form
x≈1.825857
Show Solution
