Question
Factor the expression
(7h−4)(7h+4)
Evaluate
49h2−16
Rewrite the expression in exponential form
(7h)2−42
Solution
(7h−4)(7h+4)
Show Solution

Find the roots
h1=−74,h2=74
Alternative Form
h1=−0.5˙71428˙,h2=0.5˙71428˙
Evaluate
49h2−16
To find the roots of the expression,set the expression equal to 0
49h2−16=0
Move the constant to the right-hand side and change its sign
49h2=0+16
Removing 0 doesn't change the value,so remove it from the expression
49h2=16
Divide both sides
4949h2=4916
Divide the numbers
h2=4916
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±4916
Simplify the expression
More Steps

Evaluate
4916
To take a root of a fraction,take the root of the numerator and denominator separately
4916
Simplify the radical expression
More Steps

Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
494
Simplify the radical expression
More Steps

Evaluate
49
Write the number in exponential form with the base of 7
72
Reduce the index of the radical and exponent with 2
7
74
h=±74
Separate the equation into 2 possible cases
h=74h=−74
Solution
h1=−74,h2=74
Alternative Form
h1=−0.5˙71428˙,h2=0.5˙71428˙
Show Solution
