Question

PLEASE AND THANK YOU CONFUSED ON THIS


`- 5 √(10) * √(15) = |1| m √( |2| )`

Answer 1

After staring at this for a few seconds, I think the equation

`-5√(10)\cdot√(15)=[1]√([2])`

is asking you to simplify the left hand side so that it has a form matching the right hand side, and [1] and [2] are placeholders. My guess is that they're supposed to be integers.

Notice that

`√(10)=√(5\cdot2)=\sqrt5\cdot\sqrt2`

`√(15)=√(5\cdot3)=\sqrt5\cdot\sqrt3`

`\implies√(10)\cdot√(15)=(\sqrt5)^2\cdot\sqrt2\cdot\sqrt3=5√(2\cdot3)=5\sqrt6`

Then multiplying by -5, we have

`-5√(10)\cdot√(15)=-25\sqrt6`

so I believe [1] = -25, and [2] = 6.