Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
h2−128
Evaluate
h2×1−128−0
Any expression multiplied by 1 remains the same
h2−128−0
Solution
h2−128
Show Solution
Find the roots
h1=−82,h2=82
Alternative Form
h1≈−11.313708,h2≈11.313708
Evaluate
h2×1−128−0
To find the roots of the expression,set the expression equal to 0
h2×1−128−0=0
Any expression multiplied by 1 remains the same
h2−128−0=0
Removing 0 doesn't change the value,so remove it from the expression
h2−128=0
Move the constant to the right-hand side and change its sign
h2=0+128
Removing 0 doesn't change the value,so remove it from the expression
h2=128
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±128
Simplify the expression
More Steps
Evaluate
128
Write the expression as a product where the root of one of the factors can be evaluated
64×2
Write the number in exponential form with the base of 8
82×2
The root of a product is equal to the product of the roots of each factor
82×2
Reduce the index of the radical and exponent with 2
82
h=±82
Separate the equation into 2 possible cases
h=82h=−82
Solution
h1=−82,h2=82
Alternative Form
h1≈−11.313708,h2≈11.313708
Show Solution