Find the value

Q-> √7+2√10=√A+√B
Find the value of A+B

6 Answers

7
hint- square

I too think so.

Squaring,

7+2âˆš10 = A + B + 2âˆšAâˆšB

Comparing, A+B = 7 ?

√(âˆš5)²+(âˆš2)²+2âˆš5âˆš2
=âˆš5+âˆš2
therefore A+B=7

Can we write square root of a prime number as sum of two irrational numbers?

yes ,
ex: root 7= 1/2{( root7 - 5 ) + ( 5+root7)}

Can we write square root of a prime number as a sum of two PURELY irrational number?

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