Question
Simplify the expression
15h3−1
Evaluate
h3×15−1
Solution
15h3−1
Show Solution

Find the roots
h=153225
Alternative Form
h≈0.40548
Evaluate
h3×15−1
To find the roots of the expression,set the expression equal to 0
h3×15−1=0
Use the commutative property to reorder the terms
15h3−1=0
Move the constant to the right-hand side and change its sign
15h3=0+1
Removing 0 doesn't change the value,so remove it from the expression
15h3=1
Divide both sides
1515h3=151
Divide the numbers
h3=151
Take the 3-th root on both sides of the equation
3h3=3151
Calculate
h=3151
Solution
More Steps

Evaluate
3151
To take a root of a fraction,take the root of the numerator and denominator separately
31531
Simplify the radical expression
3151
Multiply by the Conjugate
315×31523152
Simplify
315×31523225
Multiply the numbers
More Steps

Evaluate
315×3152
The product of roots with the same index is equal to the root of the product
315×152
Calculate the product
3153
Reduce the index of the radical and exponent with 3
15
153225
h=153225
Alternative Form
h≈0.40548
Show Solution
