Question

SOMEONE HELP ME WORTH 100 POINTS

Answer 1

`\Large \boxed{\sf [-40]√([21])}`

Explanation:

Rearrange

`\displaystyle -5 * 4 * √(6) * √(14)`

Evaluate

`\displaystyle -20 * √(84)`

Simplify

`\displaystyle -20 * √(4 * 21)`

`\displaystyle -20 * 2√(21)`

`\displaystyle -40√(21)`

Answer 2

Blank 1: -40

Blank 2: 21

Explanation:

`-5√(14)\cdot \:4√(6)`

Break 14 up:

`-5√(2\cdot \:7)\cdot \:4√(6)`

`-5√(2)√(7)\cdot \:4√(6)`

Break 6 up:

`-5√(2)√(7)\cdot 4√(2\cdot \:3)`

`-5√(2)√(7)\cdot 4 √(2)√(3)`

We know that
`√(2)√(2)=2`

Thus,

`-5\cdot \:4\cdot \:2√(7)√(3)`

Multiply:

`-40√(7\cdot 3)`

`-40√(21)`