A square has sides of length squareroot10 squarerootl inche

A square has sides of length (squareroot10 + squarerootl) inches each. Find a simplified expression for the area of the square using square roots. Answer: The area of the square is f square inches. Preview Find a simplified expression for the perimeter of the square using square roots. Answer = The perimeter of the square is inches.

Solution

A) Area of square = side^2

side= sqrt10 +sqrt7

(a+b)^2 = a^2 +b^2 +2a*b

Area =   (sqrt10 +sqrt7)^2 = 10 +7 +2sqrt10*sqrt7 = 17 + 2sqrt(70) squrae inches

B) Permieter = 4* side = 4( sqrt 10 +sqrt7) = 4sqrt10 + 4sqrt7 inches