Question
Simplify the expression
216h5−35804
Evaluate
h5×216−35804
Solution
216h5−35804
Show Solution

Factor the expression
4(54h5−8951)
Evaluate
h5×216−35804
Use the commutative property to reorder the terms
216h5−35804
Solution
4(54h5−8951)
Show Solution

Find the roots
h=5458951×544
Alternative Form
h≈2.779045
Evaluate
h5×216−35804
To find the roots of the expression,set the expression equal to 0
h5×216−35804=0
Use the commutative property to reorder the terms
216h5−35804=0
Move the constant to the right-hand side and change its sign
216h5=0+35804
Removing 0 doesn't change the value,so remove it from the expression
216h5=35804
Divide both sides
216216h5=21635804
Divide the numbers
h5=21635804
Cancel out the common factor 4
h5=548951
Take the 5-th root on both sides of the equation
5h5=5548951
Calculate
h=5548951
Solution
More Steps

Evaluate
5548951
To take a root of a fraction,take the root of the numerator and denominator separately
55458951
Multiply by the Conjugate
554×554458951×5544
The product of roots with the same index is equal to the root of the product
554×554458951×544
Multiply the numbers
More Steps

Evaluate
554×5544
The product of roots with the same index is equal to the root of the product
554×544
Calculate the product
5545
Reduce the index of the radical and exponent with 5
54
5458951×544
h=5458951×544
Alternative Form
h≈2.779045
Show Solution
