Question
Simplify the expression
219h3−1
Evaluate
h3×219−1
Solution
219h3−1
Show Solution

Find the roots
h=219347961
Alternative Form
h≈0.165902
Evaluate
h3×219−1
To find the roots of the expression,set the expression equal to 0
h3×219−1=0
Use the commutative property to reorder the terms
219h3−1=0
Move the constant to the right-hand side and change its sign
219h3=0+1
Removing 0 doesn't change the value,so remove it from the expression
219h3=1
Divide both sides
219219h3=2191
Divide the numbers
h3=2191
Take the 3-th root on both sides of the equation
3h3=32191
Calculate
h=32191
Solution
More Steps

Evaluate
32191
To take a root of a fraction,take the root of the numerator and denominator separately
321931
Simplify the radical expression
32191
Multiply by the Conjugate
3219×3219232192
Simplify
3219×32192347961
Multiply the numbers
More Steps

Evaluate
3219×32192
The product of roots with the same index is equal to the root of the product
3219×2192
Calculate the product
32193
Reduce the index of the radical and exponent with 3
219
219347961
h=219347961
Alternative Form
h≈0.165902
Show Solution
