Question

Find the product. √5(2+√7) A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35

Answer 1

`\boxed{ \boxed{ \bold{ \blue{2 √(5) + √(35) }}}}`

Option A is the correct option.

Explanation:

`\sf{ √(5) \: (2 + √(7) )}`

Distribute √5 through the parentheses

⇒
`\sf{ √(5) * 2 + √(5) * √(7) }`

Calculate the product

⇒
`\sf{2 √(5) + √(5 * 7) }`

⇒
`\sf{2 √(5) + √(35) }`

Hope I helped!

Best regards!

Answer 2

`\huge \boxed{2√(5) +√(35)}`

Explanation:

`√(5) (2+√(7) )`

Expand brackets.

`√(5) (2)+√(5)(√(7) )`

`2√(5) +√(5) √(7)`

Apply radical rule :
`√(a) √(b) =√(ab)`

`2√(5) +√(5 * 7)`

`2√(5) +√(35)`