
Stephanie P. answered 04/29/20
Physician Assistant - Math, Econ and Stats Undergrad degrees
Distance Formula:
Plug in values
√ ((-1 - - 5) 2 + (-4 - 0 )2)
Simplify - work from inside parentheses out
= √ (( -1 + 5 ) 2 (-4) 2)
Simplify some more
= √(( -4 ) 2 + (-4) 2)
Keep simplifying
= √ (16 + 16)
= √ (32)
Consider factors of 32: 32, 16, 8, 4, 2, 1
Pull out largest square : 16
√ (16*2) = √ (16) * √(2)
Perform square root of 16
4 * √(2) = 4√2