Question

Please help me solve this problem

Answer 1

I need so simplify it as much as possible

Answer 2

just do the multiplication !??

Answer 3

i get 348.9 but shouldnt the answer be a radical?

Answer 4

Using the distributive property, 6root(5)*9root(2) + 6root(5)*root(5) + 7root(2)*9root(2) + 7root(2)*root(5) = 54root(10) + 6*5 + 63*2 + 7*root(10) = 61root(10)+156

Answer 5

And yes, 61root(10)+156 = 348.9, but you probably want to leave in radical form

Answer 6

\[61\sqrt{10}+156\]

Answer 7

@dorner don't use the calculator , multiply ,do the addition , and keep the sqrt , i think mugnaio gave you the correct answer

Answer 8

\[6\sqrt{5}*9\sqrt{2} + 6\sqrt{5}*\sqrt{5} + 7\sqrt{2}*9\sqrt{2} + 7\sqrt{2}*\sqrt{5}\]
\[= 54\sqrt{10} + 6*5 + 63*2 + 7*\sqrt{10}\]
\[= 61\sqrt{10}+156\]
\[= 348.9\]
Already replied earlier, but this one uses fancy radicals ;) And I'd recommend leaving as radical as I said earlier, and Mugnaio/kyusakazaki said