Question

(2√3 + √5 − 5√2) . 4√2=

Answer 1

Answer:

$\huge\boxed{8\sqrt6+4\sqrt{10}-40}$

Step-by-step explanation:

Use the distributive property a(b + c) = ab + ac:

$(2\sqrt3+\sqrt5-5\sqrt2)\cdot4\sqrt2\\\\=(2\sqrt3)(4\sqrt2)+(\sqrt5)(4\sqrt2)-(5\sqrt2)(4\sqrt2)\\\\=8\sqrt6+4\sqrt{10}-20\cdot2\\\\=8\sqrt6+4\sqrt{10}-40$

Used

$\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\\sqrt{a}\cdot\sqrt{a}=a\\\\for\ a,\ b\geq0$