Question
Simplify the expression
64t2−2011
Evaluate
8t2×8−2011
Solution
64t2−2011
Show Solution

Find the roots
t1=−82011,t2=82011
Alternative Form
t1≈−5.605522,t2≈5.605522
Evaluate
8t2×8−2011
To find the roots of the expression,set the expression equal to 0
8t2×8−2011=0
Multiply the terms
64t2−2011=0
Move the constant to the right-hand side and change its sign
64t2=0+2011
Removing 0 doesn't change the value,so remove it from the expression
64t2=2011
Divide both sides
6464t2=642011
Divide the numbers
t2=642011
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±642011
Simplify the expression
More Steps

Evaluate
642011
To take a root of a fraction,take the root of the numerator and denominator separately
642011
Simplify the radical expression
More Steps

Evaluate
64
Write the number in exponential form with the base of 8
82
Reduce the index of the radical and exponent with 2
8
82011
t=±82011
Separate the equation into 2 possible cases
t=82011t=−82011
Solution
t1=−82011,t2=82011
Alternative Form
t1≈−5.605522,t2≈5.605522
Show Solution
