Question
Solve the equation
Solve for a
Solve for b
Solve for c
a=∣bc∣738a=−∣bc∣738
Evaluate
a2b2c2=1862
Rewrite the expression
b2c2a2=1862
Divide both sides
b2c2b2c2a2=b2c21862
Divide the numbers
a2=b2c21862
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±b2c21862
Simplify the expression
More Steps

Evaluate
b2c21862
To take a root of a fraction,take the root of the numerator and denominator separately
b2c21862
Simplify the radical expression
More Steps

Evaluate
1862
Write the expression as a product where the root of one of the factors can be evaluated
49×38
Write the number in exponential form with the base of 7
72×38
The root of a product is equal to the product of the roots of each factor
72×38
Reduce the index of the radical and exponent with 2
738
b2c2738
Simplify the radical expression
More Steps

Evaluate
b2c2
Rewrite the expression
b2×c2
Simplify the root
∣bc∣
∣bc∣738
a=±∣bc∣738
Solution
a=∣bc∣738a=−∣bc∣738
Show Solution
