Question

Simplify.


`0.5`
`√(16a^2)` If a<0
Help on this would be greatly appreciated!

Answer 1

To simplify the expression, you can start by simplifying the square root of 16a^2. The square root of 16 is 4, and since a is a variable, you can leave it as it is. Multiplying 0.5 and 4 gives 2, so the simplified expression is 2a.

Step-by-step explanation:

To simplify the expression, we can start by simplifying the square root of 16a^2. The square root of 16 is 4. For a^2, we can leave it as it is since we don't have any more information about the variable a. So, the expression becomes 0.5 * 4 * a. Multiplying 0.5 and 4 gives 2, so the simplified expression is 2a.

Answer 2

`0.5√(16a^2):\quad 2a`

Step-by-step explanation:

`√(ab)=√(a)√(b),\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0\\\\√(16a^2)=√(16)√(a^2)\\=0.5√(16)√(a^2)\\\\√(16)\\\mathrm{Factor\:the\:number:\:}\:16=4^2\\=√(4^2)\\\\√(4^2)=4\\=4\\=0.5\cdot \:4√(a^2)\\√(a^2)=a\\=0.5\cdot \:4a\\=2a`