Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
h2−27
Evaluate
h2×1−27
Solution
h2−27
Show Solution
Find the roots
h1=−33,h2=33
Alternative Form
h1≈−5.196152,h2≈5.196152
Evaluate
h2×1−27
To find the roots of the expression,set the expression equal to 0
h2×1−27=0
Any expression multiplied by 1 remains the same
h2−27=0
Move the constant to the right-hand side and change its sign
h2=0+27
Removing 0 doesn't change the value,so remove it from the expression
h2=27
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±27
Simplify the expression
More Steps
Evaluate
27
Write the expression as a product where the root of one of the factors can be evaluated
9×3
Write the number in exponential form with the base of 3
32×3
The root of a product is equal to the product of the roots of each factor
32×3
Reduce the index of the radical and exponent with 2
33
h=±33
Separate the equation into 2 possible cases
h=33h=−33
Solution
h1=−33,h2=33
Alternative Form
h1≈−5.196152,h2≈5.196152
Show Solution