Solve a^2 b^2 c^2=4r^2 4r^2 s^2

Evaluate

a^{2} b^{2} c^{2} = 4 r^{2} \times 4 r^{2} s^{2}

Multiply

More Steps

a^{2} b^{2} c^{2} = 16 r^{4} s^{2}

Rewrite the expression

b^{2} c^{2} a^{2} = 16 r^{4} s^{2}

Divide both sides

\frac{b ^{2} c ^{2} a ^{2}}{b ^{2} c ^{2}} = \frac{16 r ^{4} s ^{2}}{b ^{2} c ^{2}}

Divide the numbers

a^{2} = \frac{16 r ^{4} s ^{2}}{b ^{2} c ^{2}}

Take the root of both sides of the equation and remember to use both positive and negative roots

a = \pm \frac{16 r ^{4} s ^{2}}{b ^{2} c ^{2}}

Simplify the expression

More Steps

a = \pm \frac{16 r ^{4} s ^{2}}{∣ b c ∣}

Separate the equation into 2 possible cases

a = \frac{16 r ^{4} s ^{2}}{∣ b c ∣} a = - \frac{16 r ^{4} s ^{2}}{∣ b c ∣}

Simplify

a = \frac{4 r ^{2} s}{∣ b c ∣} a = - \frac{16 r ^{4} s ^{2}}{∣ b c ∣}

Solution

a = \frac{4 r ^{2} s}{∣ b c ∣} a = - \frac{4 r ^{2} s}{∣ b c ∣}

Solve the equation