Question
Solve the equation
x=2584
Alternative Form
x≈1.212902
Evaluate
8x5=21
Divide both sides
88x5=821
Divide the numbers
x5=821
Take the 5-th root on both sides of the equation
5x5=5821
Calculate
x=5821
Solution
More Steps

Evaluate
5821
To take a root of a fraction,take the root of the numerator and denominator separately
58521
Multiply by the Conjugate
58×584521×584
Simplify
58×584521×2254
Multiply the numbers
More Steps

Evaluate
521×2254
Multiply the terms
584×22
Use the commutative property to reorder the terms
22584
58×58422584
Multiply the numbers
More Steps

Evaluate
58×584
The product of roots with the same index is equal to the root of the product
58×84
Calculate the product
585
Transform the expression
5215
Reduce the index of the radical and exponent with 5
23
2322584
Reduce the fraction
More Steps

Evaluate
2322
Use the product rule aman=an−m to simplify the expression
23−21
Subtract the terms
211
Simplify
21
2584
x=2584
Alternative Form
x≈1.212902
Show Solution
