how do you write an expression showing x=the square root of 45^2 + 30^2

Answer 1

x = √45^2 + 30^2

x = 45 + 900

Answer 2

√( 45² + 30² )=

√ [ ( 15 ∙ 3 )² + ( 15 ∙ 2 )² ] =

√ ( 15² ∙ 3² + 15² ∙ 2² ) =

√ ( 15² ∙ 9 + 15² ∙ 4 ) =

√ [ ( 15² ∙ ( 9 + 4 ) ]=

√ ( 15² ∙ 13 ) =

√ 15² ∙ √ 13 =

15 √ 13

√( 45² + 30² )= 15 √ 13