Solve B=sqrt{28}-5sqrt{12}

$$B = \sqrt { 28 } - 5 \sqrt { 12 }$$

Solve for B

$$B=2\left(\sqrt{7}-5\sqrt{3}\right)\approx -12.029005454$$

Steps for Solving Linear Equation

Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.

$$B=2\sqrt{7}-5\sqrt{12}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$B=2\sqrt{7}-5\times 2\sqrt{3}$$

Multiply -5 and 2 to get -10.

$$B=2\sqrt{7}-10\sqrt{3}$$

Assign B

$$B≔2\left(\sqrt{7}-5\sqrt{3}\right)$$