Question

The question is in the attached file

Answer 1

D. 3.2553

Explanation:

3/3.65 + 2/0.822

0.8219 + 2.4330

3.2553

Answer 2

`\sf D) \quad 3.2553`

Explanation:

Simplify the given expression:

`\sf (3)/(√(5)+√(2))+(2)/(√(5)-√(2))`

`\sf = (3(√(5)-√(2)))/((√(5)+√(2))(√(5)-√(2)))+(2(√(5)+√(2)))/((√(5)+√(2))(√(5)-√(2)))`

`\sf = (3(√(5)-√(2)))/(3)+(2(√(5)+√(2)))/(3)`

`\sf = (3√(5)-3√(2)+2√(5)+2√(2))/(3)`

`\sf =(5√(5)-√(2))/(3)`

Given:

• 
  `\sf √(5) = 2.236`

• 
  `\sf √(2) = 1.414`

Substitute the given values into the simplified expression:

`\sf =(5(2.236)-1.414)/(3)`

`\sf =(11.18-1.414)/(3)`

`\sf =(9.766)/(3)`

`\sf =3.2553\:\:(4\:d.p.)`