Question
Simplify the expression
t2−24
Evaluate
t2×1−1−23
Any expression multiplied by 1 remains the same
t2−1−23
Solution
t2−24
Show Solution

Find the roots
t1=−26,t2=26
Alternative Form
t1≈−4.898979,t2≈4.898979
Evaluate
t2×1−1−23
To find the roots of the expression,set the expression equal to 0
t2×1−1−23=0
Any expression multiplied by 1 remains the same
t2−1−23=0
Subtract the numbers
t2−24=0
Move the constant to the right-hand side and change its sign
t2=0+24
Removing 0 doesn't change the value,so remove it from the expression
t2=24
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±24
Simplify the expression
More Steps

Evaluate
24
Write the expression as a product where the root of one of the factors can be evaluated
4×6
Write the number in exponential form with the base of 2
22×6
The root of a product is equal to the product of the roots of each factor
22×6
Reduce the index of the radical and exponent with 2
26
t=±26
Separate the equation into 2 possible cases
t=26t=−26
Solution
t1=−26,t2=26
Alternative Form
t1≈−4.898979,t2≈4.898979
Show Solution
