Let's simplify each term first:
- √27 can be simplified as √(3^3), which equals 3√3.
- √12 can be simplified as √(2^2 × 3), which equals 2√3.
- √75 can be simplified as √(3 × 5^2), which equals 5√3.
Substituting these simplifications into the original expression, we get:
427(3√3) + 512(2√3) - 375(5√3)
Simplifying the coefficients of √3, we get:
1281√3 + 1024√3 - 1875√3
Combining like terms, we get:
330√3
Therefore, the simplified expression is 330√3. Answer: 73" tabindex="0" class="mjx-chtml MathJax_CHTML" id="MathJax-Element-38-Frame">√3 divided by 3.