Question
Simplify the expression
4698o2−2957
Evaluate
1×81o×58o−2957
Solution
More Steps

Evaluate
1×81o×58o
Rewrite the expression
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−2957
Show Solution

Find the roots
o1=−522171506,o2=522171506
Alternative Form
o1≈−0.793358,o2≈0.793358
Evaluate
1×(81o)×58o−2957
To find the roots of the expression,set the expression equal to 0
1×(81o)×58o−2957=0
Multiply the terms
1×81o×58o−2957=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
4698o2−2957=0
Move the constant to the right-hand side and change its sign
4698o2=0+2957
Removing 0 doesn't change the value,so remove it from the expression
4698o2=2957
Divide both sides
46984698o2=46982957
Divide the numbers
o2=46982957
Take the root of both sides of the equation and remember to use both positive and negative roots
o=±46982957
Simplify the expression
More Steps

Evaluate
46982957
To take a root of a fraction,take the root of the numerator and denominator separately
46982957
Simplify the radical expression
More Steps

Evaluate
4698
Write the expression as a product where the root of one of the factors can be evaluated
81×58
Write the number in exponential form with the base of 9
92×58
The root of a product is equal to the product of the roots of each factor
92×58
Reduce the index of the radical and exponent with 2
958
9582957
Multiply by the Conjugate
958×582957×58
Multiply the numbers
More Steps

Evaluate
2957×58
The product of roots with the same index is equal to the root of the product
2957×58
Calculate the product
171506
958×58171506
Multiply the numbers
More Steps

Evaluate
958×58
When a square root of an expression is multiplied by itself,the result is that expression
9×58
Multiply the terms
522
522171506
o=±522171506
Separate the equation into 2 possible cases
o=522171506o=−522171506
Solution
o1=−522171506,o2=522171506
Alternative Form
o1≈−0.793358,o2≈0.793358
Show Solution
