Question
Simplify the expression
92−2164y5
Evaluate
92−4y5×541
Solution
92−2164y5
Show Solution

Factor the expression
4(23−541y5)
Evaluate
92−4y5×541
Multiply the terms
92−2164y5
Solution
4(23−541y5)
Show Solution

Find the roots
y=541523×5414
Alternative Form
y≈0.531748
Evaluate
92−4y5×541
To find the roots of the expression,set the expression equal to 0
92−4y5×541=0
Multiply the terms
92−2164y5=0
Move the constant to the right-hand side and change its sign
−2164y5=0−92
Removing 0 doesn't change the value,so remove it from the expression
−2164y5=−92
Change the signs on both sides of the equation
2164y5=92
Divide both sides
21642164y5=216492
Divide the numbers
y5=216492
Cancel out the common factor 4
y5=54123
Take the 5-th root on both sides of the equation
5y5=554123
Calculate
y=554123
Solution
More Steps

Evaluate
554123
To take a root of a fraction,take the root of the numerator and denominator separately
5541523
Multiply by the Conjugate
5541×55414523×55414
The product of roots with the same index is equal to the root of the product
5541×55414523×5414
Multiply the numbers
More Steps

Evaluate
5541×55414
The product of roots with the same index is equal to the root of the product
5541×5414
Calculate the product
55415
Reduce the index of the radical and exponent with 5
541
541523×5414
y=541523×5414
Alternative Form
y≈0.531748
Show Solution
