Evaluate and each step in detail :-3√61+3√25+3√8
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Answer:
3√61+3√25+3√8 = 47.298
The given expression is :
3√61+3√25+3√8 .
We need to break the given square roots into smaller roots.
As 61 = 3*3*7
So, √61 = √(3*3*7) = 3√7
Again, √25 = 5
And, √8 = √(2*2*2) = 2√2
Replacing these in the main expression, we get,
3[3√7] + 3(5) + 3[2√2]
= 9√7 + 15 + 6√2
As the value of √7 = 2.646 and √2 = 1.414. So,
= 9(2.646) + 15 + 6(1.414)
= 47.298
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