Find positive square root of 10 + 2√6+√60+2√10
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Supposing you wanted to write 2√6, 2√10, 2√15, the square root would be (√2+√3+√5).
10+ 2√6+2√10+2√15
=10+2√2*√3+2√2*√5+2√3*√5
=(√2)^2+(√3)^2+(√5)^2+2√2*√3+2√2*√5+2√3*√5
Comparing with the form (a^2+b^2+c^2+2ab+2bc+2ca)=(a+b+c)^2
We get the square root as (√2+√3+√5)
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