Question
Simplify the expression
36x4−3
Evaluate
(x2×6)2−3
Use the commutative property to reorder the terms
(6x2)2−3
Solution
36x4−3
Show Solution

Factor the expression
3(12x4−1)
Evaluate
(x2×6)2−3
Use the commutative property to reorder the terms
(6x2)2−3
Simplify
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Evaluate
(6x2)2
Rewrite the expression
6x2×6x2
Multiply the numbers
36x2×x2
Multiply the terms
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Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
36x4
36x4−3
Solution
3(12x4−1)
Show Solution

Find the roots
x1=−64108,x2=64108
Alternative Form
x1≈−0.537285,x2≈0.537285
Evaluate
(x2×6)2−3
To find the roots of the expression,set the expression equal to 0
(x2×6)2−3=0
Use the commutative property to reorder the terms
(6x2)2−3=0
Rewrite the expression
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Simplify
(6x2)2−3
Rewrite the expression
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Evaluate
(6x2)2
To raise a product to a power,raise each factor to that power
62(x2)2
Evaluate the power
36(x2)2
Evaluate the power
36x4
36x4−3
36x4−3=0
Move the constant to the right-hand side and change its sign
36x4=0+3
Removing 0 doesn't change the value,so remove it from the expression
36x4=3
Divide both sides
3636x4=363
Divide the numbers
x4=363
Cancel out the common factor 3
x4=121
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4121
Simplify the expression
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Evaluate
4121
To take a root of a fraction,take the root of the numerator and denominator separately
41241
Simplify the radical expression
4121
Multiply by the Conjugate
412×41234123
Simplify
412×412324108
Multiply the numbers
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Evaluate
412×4123
The product of roots with the same index is equal to the root of the product
412×123
Calculate the product
4124
Reduce the index of the radical and exponent with 4
12
1224108
Cancel out the common factor 2
64108
x=±64108
Separate the equation into 2 possible cases
x=64108x=−64108
Solution
x1=−64108,x2=64108
Alternative Form
x1≈−0.537285,x2≈0.537285
Show Solution
