Question
Solve the equation
v1=−34108,v2=34108
Alternative Form
v1≈−1.07457,v2≈1.07457
Evaluate
v4×9=12
Use the commutative property to reorder the terms
9v4=12
Divide both sides
99v4=912
Divide the numbers
v4=912
Cancel out the common factor 3
v4=34
Take the root of both sides of the equation and remember to use both positive and negative roots
v=±434
Simplify the expression
More Steps

Evaluate
434
To take a root of a fraction,take the root of the numerator and denominator separately
4344
Simplify the radical expression
More Steps

Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
432
Multiply by the Conjugate
43×4332×433
Simplify
43×4332×427
Multiply the numbers
More Steps

Evaluate
2×427
Use na=mnam to expand the expression
422×427
The product of roots with the same index is equal to the root of the product
422×27
Calculate the product
4108
43×4334108
Multiply the numbers
More Steps

Evaluate
43×433
The product of roots with the same index is equal to the root of the product
43×33
Calculate the product
434
Reduce the index of the radical and exponent with 4
3
34108
v=±34108
Separate the equation into 2 possible cases
v=34108v=−34108
Solution
v1=−34108,v2=34108
Alternative Form
v1≈−1.07457,v2≈1.07457
Show Solution
