Question

Find the distance of the point A(2+√3 , 2-√3) from the origin using distance formula

Answer 1

Hi ,

distance of the point A( 2+√3 ,2-√3 ) = ( x , y )

from the origin O( 0 , 0 )

OA = √ x² + y²

= √ ( 2+√3 )² + ( 2-√3 )²

= √ 2[( 2² + ( √3 )²]

[ Since ( a + b )² + ( a - b )² = 2( a² + b² ) ]

= √2( 4 + 3 )

= √2×7

= √14

I hope this helps you.

: )

Answer 2

answer is √14

distance of point A(2+√3,2-√3) from the origin :
√(2+√3)^2 + (2-√3)^2
√4+3+4√3+4+3-4√3
√8+6
√14