Question
Solve the equation
x=731813
Alternative Form
x≈1.741945
Evaluate
999=27x3×7
Multiply the terms
999=189x3
Swap the sides of the equation
189x3=999
Divide both sides
189189x3=189999
Divide the numbers
x3=189999
Cancel out the common factor 27
x3=737
Take the 3-th root on both sides of the equation
3x3=3737
Calculate
x=3737
Solution
More Steps

Evaluate
3737
To take a root of a fraction,take the root of the numerator and denominator separately
37337
Multiply by the Conjugate
37×372337×372
Simplify
37×372337×349
Multiply the numbers
More Steps

Evaluate
337×349
The product of roots with the same index is equal to the root of the product
337×49
Calculate the product
31813
37×37231813
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
731813
x=731813
Alternative Form
x≈1.741945
Show Solution
