Question
Simplify the expression
6k2−1
Evaluate
k2×6−1
Solution
6k2−1
Show Solution

Find the roots
k1=−66,k2=66
Alternative Form
k1≈−0.408248,k2≈0.408248
Evaluate
k2×6−1
To find the roots of the expression,set the expression equal to 0
k2×6−1=0
Use the commutative property to reorder the terms
6k2−1=0
Move the constant to the right-hand side and change its sign
6k2=0+1
Removing 0 doesn't change the value,so remove it from the expression
6k2=1
Divide both sides
66k2=61
Divide the numbers
k2=61
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±61
Simplify the expression
More Steps

Evaluate
61
To take a root of a fraction,take the root of the numerator and denominator separately
61
Simplify the radical expression
61
Multiply by the Conjugate
6×66
When a square root of an expression is multiplied by itself,the result is that expression
66
k=±66
Separate the equation into 2 possible cases
k=66k=−66
Solution
k1=−66,k2=66
Alternative Form
k1≈−0.408248,k2≈0.408248
Show Solution
