Question
Simplify the expression
h2−117
Evaluate
h2×1−117−0
Any expression multiplied by 1 remains the same
h2−117−0
Solution
h2−117
Show Solution

Find the roots
h1=−313,h2=313
Alternative Form
h1≈−10.816654,h2≈10.816654
Evaluate
h2×1−117−0
To find the roots of the expression,set the expression equal to 0
h2×1−117−0=0
Any expression multiplied by 1 remains the same
h2−117−0=0
Removing 0 doesn't change the value,so remove it from the expression
h2−117=0
Move the constant to the right-hand side and change its sign
h2=0+117
Removing 0 doesn't change the value,so remove it from the expression
h2=117
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±117
Simplify the expression
More Steps

Evaluate
117
Write the expression as a product where the root of one of the factors can be evaluated
9×13
Write the number in exponential form with the base of 3
32×13
The root of a product is equal to the product of the roots of each factor
32×13
Reduce the index of the radical and exponent with 2
313
h=±313
Separate the equation into 2 possible cases
h=313h=−313
Solution
h1=−313,h2=313
Alternative Form
h1≈−10.816654,h2≈10.816654
Show Solution
