Find the Distance Between Two Points (5 square root of 3, square root of 2) , (- square root of 3, square root of 2)

Math
(53,2) , (-3,2)
Use the distance formula to determine the distance between the two points.
Distance=(x2-x1)2+(y2-y1)2
Substitute the actual values of the points into the distance formula.
((-3)-53)2+(2-2)2
Simplify.
Tap for more steps…
Subtract 53 from -3.
(-63)2+(2-2)2
Simplify the expression.
Tap for more steps…
Apply the product rule to -63.
(-6)232+(2-2)2
Raise -6 to the power of 2.
3632+(2-2)2
3632+(2-2)2
Rewrite 32 as 3.
Tap for more steps…
Use axn=axn to rewrite 3 as 312.
36(312)2+(2-2)2
Apply the power rule and multiply exponents, (am)n=amn.
36⋅312⋅2+(2-2)2
Combine 12 and 2.
36⋅322+(2-2)2
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
36⋅322+(2-2)2
Divide 1 by 1.
36⋅31+(2-2)2
36⋅31+(2-2)2
Evaluate the exponent.
36⋅3+(2-2)2
36⋅3+(2-2)2
Multiply 36 by 3.
108+(2-2)2
Subtract 2 from 2.
108+02
Simplify the expression.
Tap for more steps…
Raising 0 to any positive power yields 0.
108+0
Add 108 and 0.
108
108
Rewrite 108 as 62⋅3.
Tap for more steps…
Factor 36 out of 108.
36(3)
Rewrite 36 as 62.
62⋅3
62⋅3
Pull terms out from under the radical.
63
63
The result can be shown in multiple forms.
Exact Form:
63
Decimal Form:
10.39230484…
Find the Distance Between Two Points (5 square root of 3, square root of 2) , (- square root of 3, square root of 2)

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top