Question

Simplify.
c)
`\sqrt{25+10√(5) +5 }`
d)
`\sqrt{30+10√(5) }`

Answer 1

Part-C)

• √25 + 10√5 + 5
• => √25 + 10 × √5 + 5
• => √25 + 10 × 2.236 + 5 [√5 = 2.236 according to the table uploaded]
• => √25 + 22.36 + 5
• => √52.36 = 7.236

Part-D)

• √30 + 10√5
• => √30 + 10 × √5
• => √30 + 10 × 2.236 [√5 = 2.236 according to the table uploaded]
• => √30 + 22.36
• => √52.36 = 7.236

Hoped this helped!

Answer 2

• 
  `5+√(5)`

Explanation:

Both are essentially same questions, considering 30 = 25 + 5.

Solving c)

• 
  `\sqrt{25+10√(5) +5} =`
• 
  `\sqrt{5^2+2*5*√(5) +(√(5) )^2} =`
• 
  `\sqrt{(5+√(5) )^2} =`
• 
  `5+√(5)`