distance (-1,0),(2,1) — step-by-step solution

The distance is the norm of the difference of the points: the square root of the sum of the squared coordinate differences

Let's calculate:

‖ (2, 1) - (-1, 0) ‖

ⅰ

(2, 1) - (-1, 0)

(2 + 1, 1)

‖ (2 + 1, 1) ‖

ⓘ Start from

2

and move forward

1

on the number line:

2 + 1

3

‖ (3, 1) ‖

ⅰ

‖ (3, 1) ‖

\sqrt{3^{2} + 1}

\sqrt{3^{2} + 1}

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

3^{2}

3 \times 3

9

\sqrt{9 + 1}

ⓘ Parentheses are computed first:

9 + 1

10

▶Distance:

\sqrt{10}

The numeric value of:

\sqrt{10}

is:

▷

\approx 3.1623