Question
Solve the equation
x=25680
Alternative Form
x≈1.842773
Evaluate
85=4x5
Swap the sides of the equation
4x5=85
Divide both sides
44x5=485
Divide the numbers
x5=485
Take the 5-th root on both sides of the equation
5x5=5485
Calculate
x=5485
Solution
More Steps

Evaluate
5485
To take a root of a fraction,take the root of the numerator and denominator separately
54585
Multiply by the Conjugate
54×544585×544
Simplify
54×544585×258
Multiply the numbers
More Steps

Evaluate
585×258
Multiply the terms
5680×2
Use the commutative property to reorder the terms
25680
54×54425680
Multiply the numbers
More Steps

Evaluate
54×544
The product of roots with the same index is equal to the root of the product
54×44
Calculate the product
545
Transform the expression
5210
Reduce the index of the radical and exponent with 5
22
2225680
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
25680
x=25680
Alternative Form
x≈1.842773
Show Solution
