Question

Simplify. c) 5+10\sqrt{5} +5 }" alt="\sqrt{25+10\sqrt{5} +5 }" align="absmiddle" class="latex-formula">
d) $\sqrt{30+10\sqrt{5} }$

Answer 1

Answer:

• $5+\sqrt{5}$

Step-by-step explanation:

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

Solving c)

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

Answer 2

Solution:

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!