Question
Simplify the expression
975h3−1
Evaluate
h3×975−1
Solution
975h3−1
Show Solution

Find the roots
h=97539752
Alternative Form
h≈0.100847
Evaluate
h3×975−1
To find the roots of the expression,set the expression equal to 0
h3×975−1=0
Use the commutative property to reorder the terms
975h3−1=0
Move the constant to the right-hand side and change its sign
975h3=0+1
Removing 0 doesn't change the value,so remove it from the expression
975h3=1
Divide both sides
975975h3=9751
Divide the numbers
h3=9751
Take the 3-th root on both sides of the equation
3h3=39751
Calculate
h=39751
Solution
More Steps

Evaluate
39751
To take a root of a fraction,take the root of the numerator and denominator separately
397531
Simplify the radical expression
39751
Multiply by the Conjugate
3975×3975239752
Multiply the numbers
More Steps

Evaluate
3975×39752
The product of roots with the same index is equal to the root of the product
3975×9752
Calculate the product
39753
Reduce the index of the radical and exponent with 3
975
97539752
h=97539752
Alternative Form
h≈0.100847
Show Solution
