Solve 2y5*sqrt{56}

$$2y5 \times \sqrt{ 56 }$$

Evaluate

$$4\sqrt{14}y_{5}$$

Solution Steps

Factor 56=2^{2}\times 14. Rewrite the square root of the product \sqrt{2^{2}\times 14} as the product of square roots \sqrt{2^{2}}\sqrt{14}. Take the square root of 2^{2}.

$$2y_{5}\times 2\sqrt{14}$$

Multiply 2 and 2 to get 4.

$$4y_{5}\sqrt{14}$$

Differentiate w.r.t. y_5

$$4 \sqrt{14} = 14.966629547$$