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Balu

· started a discussion

· 1 Months ago

wrong explanation (Question: 107766.0 )

in question there is root for 44 bt in soln its been explained for root 40

Question:
Directions : What should come in place of the question mark (?) in the following question?


 \((\sqrt{20}+\sqrt{44})\times\sqrt{36} = ?\) 

Options:
A) 2√5 + 2\(\sqrt{11}\)          
B) 48
C) 12\(\sqrt{55}\)
D) 12(√5 + \(\sqrt{11}\))
E) 24\(\sqrt{55}\)
Solution:

(\(\sqrt{20}\) + \(\sqrt{44}\)) ×  \(\sqrt{36}\) = ?

Factorizing the roots, we get

(\(\sqrt{2×2×5}\ \ \ +\sqrt{2×2×11}\ \ \ \ )\times\sqrt{2×2×3×3}\ \ \ \ = ?\) 

? = (2√5 + 2\(\sqrt{11}\) ) × 6

= 12√5 +  12\(\sqrt{11}\) 

= 12(√5 + \(\sqrt{11}\)) 

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