Question
Simplify the expression
4698o2−2536
Evaluate
81o×58o−2536
Solution
More Steps

Evaluate
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−2536
Show Solution

Factor the expression
2(2349o2−1268)
Evaluate
81o×58o−2536
Multiply
More Steps

Evaluate
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−2536
Solution
2(2349o2−1268)
Show Solution

Find the roots
o1=−26129193,o2=26129193
Alternative Form
o1≈−0.734714,o2≈0.734714
Evaluate
(81o)×58o−2536
To find the roots of the expression,set the expression equal to 0
(81o)×58o−2536=0
Multiply the terms
81o×58o−2536=0
Multiply
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Multiply the terms
81o×58o
Multiply the terms
4698o×o
Multiply the terms
4698o2
4698o2−2536=0
Move the constant to the right-hand side and change its sign
4698o2=0+2536
Removing 0 doesn't change the value,so remove it from the expression
4698o2=2536
Divide both sides
46984698o2=46982536
Divide the numbers
o2=46982536
Cancel out the common factor 2
o2=23491268
Take the root of both sides of the equation and remember to use both positive and negative roots
o=±23491268
Simplify the expression
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Evaluate
23491268
To take a root of a fraction,take the root of the numerator and denominator separately
23491268
Simplify the radical expression
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Evaluate
1268
Write the expression as a product where the root of one of the factors can be evaluated
4×317
Write the number in exponential form with the base of 2
22×317
The root of a product is equal to the product of the roots of each factor
22×317
Reduce the index of the radical and exponent with 2
2317
23492317
Simplify the radical expression
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Evaluate
2349
Write the expression as a product where the root of one of the factors can be evaluated
81×29
Write the number in exponential form with the base of 9
92×29
The root of a product is equal to the product of the roots of each factor
92×29
Reduce the index of the radical and exponent with 2
929
9292317
Multiply by the Conjugate
929×292317×29
Multiply the numbers
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Evaluate
317×29
The product of roots with the same index is equal to the root of the product
317×29
Calculate the product
9193
929×2929193
Multiply the numbers
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Evaluate
929×29
When a square root of an expression is multiplied by itself,the result is that expression
9×29
Multiply the terms
261
26129193
o=±26129193
Separate the equation into 2 possible cases
o=26129193o=−26129193
Solution
o1=−26129193,o2=26129193
Alternative Form
o1≈−0.734714,o2≈0.734714
Show Solution
