Question
Simplify the expression
822h3−1
Evaluate
h3×822−1
Solution
822h3−1
Show Solution

Find the roots
h=82238222
Alternative Form
h≈0.106752
Evaluate
h3×822−1
To find the roots of the expression,set the expression equal to 0
h3×822−1=0
Use the commutative property to reorder the terms
822h3−1=0
Move the constant to the right-hand side and change its sign
822h3=0+1
Removing 0 doesn't change the value,so remove it from the expression
822h3=1
Divide both sides
822822h3=8221
Divide the numbers
h3=8221
Take the 3-th root on both sides of the equation
3h3=38221
Calculate
h=38221
Solution
More Steps

Evaluate
38221
To take a root of a fraction,take the root of the numerator and denominator separately
382231
Simplify the radical expression
38221
Multiply by the Conjugate
3822×3822238222
Multiply the numbers
More Steps

Evaluate
3822×38222
The product of roots with the same index is equal to the root of the product
3822×8222
Calculate the product
38223
Reduce the index of the radical and exponent with 3
822
82238222
h=82238222
Alternative Form
h≈0.106752
Show Solution
