Question
Solve the equation
Solve for a
Solve for b
Solve for c
a=∣bc∣1330a=−∣bc∣1330
Evaluate
a2b2c2=5070
Rewrite the expression
b2c2a2=5070
Divide both sides
b2c2b2c2a2=b2c25070
Divide the numbers
a2=b2c25070
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±b2c25070
Simplify the expression
More Steps

Evaluate
b2c25070
To take a root of a fraction,take the root of the numerator and denominator separately
b2c25070
Simplify the radical expression
More Steps

Evaluate
5070
Write the expression as a product where the root of one of the factors can be evaluated
169×30
Write the number in exponential form with the base of 13
132×30
The root of a product is equal to the product of the roots of each factor
132×30
Reduce the index of the radical and exponent with 2
1330
b2c21330
Simplify the radical expression
More Steps

Evaluate
b2c2
Rewrite the expression
b2×c2
Simplify the root
∣bc∣
∣bc∣1330
a=±∣bc∣1330
Solution
a=∣bc∣1330a=−∣bc∣1330
Show Solution
