Question
Simplify the expression
1512p2−1
Evaluate
p2×1512−1
Solution
1512p2−1
Show Solution

Find the roots
p1=−25242,p2=25242
Alternative Form
p1≈−0.025717,p2≈0.025717
Evaluate
p2×1512−1
To find the roots of the expression,set the expression equal to 0
p2×1512−1=0
Use the commutative property to reorder the terms
1512p2−1=0
Move the constant to the right-hand side and change its sign
1512p2=0+1
Removing 0 doesn't change the value,so remove it from the expression
1512p2=1
Divide both sides
15121512p2=15121
Divide the numbers
p2=15121
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±15121
Simplify the expression
More Steps

Evaluate
15121
To take a root of a fraction,take the root of the numerator and denominator separately
15121
Simplify the radical expression
15121
Simplify the radical expression
More Steps

Evaluate
1512
Write the expression as a product where the root of one of the factors can be evaluated
36×42
Write the number in exponential form with the base of 6
62×42
The root of a product is equal to the product of the roots of each factor
62×42
Reduce the index of the radical and exponent with 2
642
6421
Multiply by the Conjugate
642×4242
Multiply the numbers
More Steps

Evaluate
642×42
When a square root of an expression is multiplied by itself,the result is that expression
6×42
Multiply the terms
252
25242
p=±25242
Separate the equation into 2 possible cases
p=25242p=−25242
Solution
p1=−25242,p2=25242
Alternative Form
p1≈−0.025717,p2≈0.025717
Show Solution
