Question
Solve the equation
a1=−26416,a2=26416
Alternative Form
a1≈−1.36611,a2≈1.36611
Evaluate
8a6=52
Divide both sides
88a6=852
Divide the numbers
a6=852
Cancel out the common factor 4
a6=213
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±6213
Simplify the expression
More Steps

Evaluate
6213
To take a root of a fraction,take the root of the numerator and denominator separately
62613
Multiply by the Conjugate
62×625613×625
Simplify
62×625613×632
Multiply the numbers
More Steps

Evaluate
613×632
The product of roots with the same index is equal to the root of the product
613×32
Calculate the product
6416
62×6256416
Multiply the numbers
More Steps

Evaluate
62×625
The product of roots with the same index is equal to the root of the product
62×25
Calculate the product
626
Reduce the index of the radical and exponent with 6
2
26416
a=±26416
Separate the equation into 2 possible cases
a=26416a=−26416
Solution
a1=−26416,a2=26416
Alternative Form
a1≈−1.36611,a2≈1.36611
Show Solution
