Question

(5-2√6)^2-(3√2-2√3)(4√2+8√3)=

Answer 1

=(25-2*5*2√6+4*6)-(12*2+24*√3*√2-2*4*√3*√2-16*3)=
(49-20√6)-(24+24√6-8√6-48)=(49-20√6)-(16√6-24)=
49-20√6-16√6+24=73-36√6=73-6в квадрате * 6в степени 1/2=73-36=37

Answer 2

I can help you with your math problem. Here is the detailed solution:

(5-2√6)^2-(3√2-2√3)(4√2+8√3) = (25-20√6+24)-(12√2-8√3+24√2-64√3) = 49-20√6-36√2+72√3 = 7^2-20√6-4√2(3√2+9√3) = 7^2-20√6-4√2(√2+√3)^2 = 7^2-20√6-4√2(2+√6) = 7^2-20√6-8√2-4√12 = 49-20√6-8√2-8√3 = (7-2√2)^2-20√6-8√3

The final answer is (7-2√2)^2-20√6-8√3.

You can also use some online calculators to check your answer or get more explanations. For example, you can try [this one](https://www.mathway.com/Calculator/evaluate-radicals-calculator) or [this one](https://brainly.in/question/746370).