Question
Simplify the expression
131p2−20
Evaluate
p2×131−1−19
Use the commutative property to reorder the terms
131p2−1−19
Solution
131p2−20
Show Solution

Find the roots
p1=−1312655,p2=1312655
Alternative Form
p1≈−0.390732,p2≈0.390732
Evaluate
p2×131−1−19
To find the roots of the expression,set the expression equal to 0
p2×131−1−19=0
Use the commutative property to reorder the terms
131p2−1−19=0
Subtract the numbers
131p2−20=0
Move the constant to the right-hand side and change its sign
131p2=0+20
Removing 0 doesn't change the value,so remove it from the expression
131p2=20
Divide both sides
131131p2=13120
Divide the numbers
p2=13120
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±13120
Simplify the expression
More Steps

Evaluate
13120
To take a root of a fraction,take the root of the numerator and denominator separately
13120
Simplify the radical expression
More Steps

Evaluate
20
Write the expression as a product where the root of one of the factors can be evaluated
4×5
Write the number in exponential form with the base of 2
22×5
The root of a product is equal to the product of the roots of each factor
22×5
Reduce the index of the radical and exponent with 2
25
13125
Multiply by the Conjugate
131×13125×131
Multiply the numbers
More Steps

Evaluate
5×131
The product of roots with the same index is equal to the root of the product
5×131
Calculate the product
655
131×1312655
When a square root of an expression is multiplied by itself,the result is that expression
1312655
p=±1312655
Separate the equation into 2 possible cases
p=1312655p=−1312655
Solution
p1=−1312655,p2=1312655
Alternative Form
p1≈−0.390732,p2≈0.390732
Show Solution
