Question
Simplify the expression
2P2−1
Evaluate
P2×2−1
Solution
2P2−1
Show Solution

Find the roots
P1=−22,P2=22
Alternative Form
P1≈−0.707107,P2≈0.707107
Evaluate
P2×2−1
To find the roots of the expression,set the expression equal to 0
P2×2−1=0
Use the commutative property to reorder the terms
2P2−1=0
Move the constant to the right-hand side and change its sign
2P2=0+1
Removing 0 doesn't change the value,so remove it from the expression
2P2=1
Divide both sides
22P2=21
Divide the numbers
P2=21
Take the root of both sides of the equation and remember to use both positive and negative roots
P=±21
Simplify the expression
More Steps

Evaluate
21
To take a root of a fraction,take the root of the numerator and denominator separately
21
Simplify the radical expression
21
Multiply by the Conjugate
2×22
When a square root of an expression is multiplied by itself,the result is that expression
22
P=±22
Separate the equation into 2 possible cases
P=22P=−22
Solution
P1=−22,P2=22
Alternative Form
P1≈−0.707107,P2≈0.707107
Show Solution
