Question

Please help and explain how to do this

Answer 1

4√3

Explanation:

The distance formula applies. It tells you ...

distance = √((x2 -x1)² +(y2 -y1)²)

Filling in the given values, you have ...

distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)

= √((-4√2+4√2)² +(2√3 +2√3)²)

= √(0 + (4√3)²)

distance = 4√3

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We make use of the fact that ...

`a√(b)=√(a^2b)\\\\√(32)=√(16\cdot 2)=4√(2)\\\\2√(3)=√(2^2\cdot 3)=√(12)`