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Oksanka [162]
3 years ago
8

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} }
Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

  • 5+\sqrt{5}

Step-by-step explanation:

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

<u>Solving c)</u>

  • \sqrt{25+10\sqrt{5} +5} =
  • \sqrt{5^2+2*5*\sqrt{5} +(\sqrt{5} )^2} =
  • \sqrt{(5+\sqrt{5} )^2} =
  • 5+\sqrt{5}
lara31 [8.8K]3 years ago
8 0

Solution:

<u>Part-C)</u>

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

<u>Part-D)</u>

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

Hoped this helped!

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