Question
Find the roots
h1=−42,h2=42
Alternative Form
h1≈−5.656854,h2≈5.656854
Evaluate
h2−32
To find the roots of the expression,set the expression equal to 0
h2−32=0
Move the constant to the right-hand side and change its sign
h2=0+32
Removing 0 doesn't change the value,so remove it from the expression
h2=32
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±32
Simplify the expression
More Steps

Evaluate
32
Write the expression as a product where the root of one of the factors can be evaluated
16×2
Write the number in exponential form with the base of 4
42×2
The root of a product is equal to the product of the roots of each factor
42×2
Reduce the index of the radical and exponent with 2
42
h=±42
Separate the equation into 2 possible cases
h=42h=−42
Solution
h1=−42,h2=42
Alternative Form
h1≈−5.656854,h2≈5.656854
Show Solution
