Question

Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.​

Answer 1

Answer: √58

Explanation:

`\begin{aligned}&\left(x_(1), y_(1)\right)=(-2,-3) \\&\left(x_(2), y_(2)\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_(2)-x_(1)\right)^(2)+\left(y_(2)-y_(1)\right)^(2)} \\&d=\sqrt{(4+3)^(2)+(1+2)^(2)} \\&d=\sqrt{7^(2)+3^(2)} \\&d=√(49+9) \\&\bold{d=√(58)}\end{aligned}`

Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58