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pls give me the solution with explanation. IF 2root{3+root[5-root]}= root(a)+root(b) where a and b are natural no. find a+b.

pls give me the solution with explanation.
 
  1. IF 2root{3+root[5-root]}= root(a)+root(b) where a and b are natural no. find a+b.

Grade:11

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi,

I can see that the value inside the last root is missing, but the solution to these types of question goes like this.

Lets take teh expression : k + root(z)
Here you need to form a whole square. You need to break z such that z=2root(ab) and k as a^2 + b^2.

In this wasy k + root(z) will come out of the root. Proceed with this method for each and every root. You may need to add, subtract, divide multiply by ur own to solve.

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