Question
Solve the equation
x=3378
Alternative Form
x≈1.42422
Evaluate
104=4x3×9
Multiply the terms
104=36x3
Swap the sides of the equation
36x3=104
Divide both sides
3636x3=36104
Divide the numbers
x3=36104
Cancel out the common factor 4
x3=926
Take the 3-th root on both sides of the equation
3x3=3926
Calculate
x=3926
Solution
More Steps

Evaluate
3926
To take a root of a fraction,take the root of the numerator and denominator separately
39326
Multiply by the Conjugate
39×392326×392
Simplify
39×392326×333
Multiply the numbers
More Steps

Evaluate
326×333
Multiply the terms
378×3
Use the commutative property to reorder the terms
3378
39×3923378
Multiply the numbers
More Steps

Evaluate
39×392
The product of roots with the same index is equal to the root of the product
39×92
Calculate the product
393
Transform the expression
336
Reduce the index of the radical and exponent with 3
32
323378
Reduce the fraction
More Steps

Evaluate
323
Use the product rule aman=an−m to simplify the expression
32−11
Subtract the terms
311
Simplify
31
3378
x=3378
Alternative Form
x≈1.42422
Show Solution
