Question
Simplify the expression
4698o2−1131
Evaluate
1×81o×58o−1131
Solution
More Steps

Evaluate
1×81o×58o
Rewrite the expression
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−1131
Show Solution

Factor the expression
87(54o2−13)
Evaluate
1×81o×58o−1131
Multiply the terms
More Steps

Evaluate
1×81o×58o
Rewrite the expression
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−1131
Solution
87(54o2−13)
Show Solution

Find the roots
o1=−1878,o2=1878
Alternative Form
o1≈−0.490653,o2≈0.490653
Evaluate
1×(81o)×58o−1131
To find the roots of the expression,set the expression equal to 0
1×(81o)×58o−1131=0
Multiply the terms
1×81o×58o−1131=0
Multiply the terms
More Steps

Multiply the terms
1×81o×58o
Rewrite the expression
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−1131=0
Move the constant to the right-hand side and change its sign
4698o2=0+1131
Removing 0 doesn't change the value,so remove it from the expression
4698o2=1131
Divide both sides
46984698o2=46981131
Divide the numbers
o2=46981131
Cancel out the common factor 87
o2=5413
Take the root of both sides of the equation and remember to use both positive and negative roots
o=±5413
Simplify the expression
More Steps

Evaluate
5413
To take a root of a fraction,take the root of the numerator and denominator separately
5413
Simplify the radical expression
More Steps

Evaluate
54
Write the expression as a product where the root of one of the factors can be evaluated
9×6
Write the number in exponential form with the base of 3
32×6
The root of a product is equal to the product of the roots of each factor
32×6
Reduce the index of the radical and exponent with 2
36
3613
Multiply by the Conjugate
36×613×6
Multiply the numbers
More Steps

Evaluate
13×6
The product of roots with the same index is equal to the root of the product
13×6
Calculate the product
78
36×678
Multiply the numbers
More Steps

Evaluate
36×6
When a square root of an expression is multiplied by itself,the result is that expression
3×6
Multiply the terms
18
1878
o=±1878
Separate the equation into 2 possible cases
o=1878o=−1878
Solution
o1=−1878,o2=1878
Alternative Form
o1≈−0.490653,o2≈0.490653
Show Solution
