Question

The value obtained on Simplifying(√5+√6)²

Answer 1

Answer:

$11 + 2 \sqrt{30}$

Step-by-step explanation:

(

$( \sqrt{5} + \sqrt{6} ) = ( \sqrt{5} ) {}^{2} + 2 \times \sqrt{5} \times \sqrt{6} + ( \sqrt{6} ) {}^{2}$

$( \sqrt{5} + \sqrt{6} ) = ( \sqrt{5} ) {}^{2} + 2 \times \sqrt{5} \times \sqrt{6} + ( \sqrt{6} ) {}^{2} \\ \\ = 5 + 2 \sqrt{30} + 6 \\ \\ 11 + 2 \sqrt{30}$

Answer 2

Answer:

The value obtained on Simplifying (√5+√6)² =$11+2\sqrt{30}$

Step-by-step explanation:

TO FIND: The value obtained on Simplifying(√5+√6)²

 

GIVEN:(√5+√6)²

 

WE Know that $(a+b)^{2} =a^{2} +b^{2} +2ab$

   

      $(\sqrt{5} +\sqrt{6} )^{2} =(\sqrt{5} )^{2} +(\sqrt{6} )^{2} +2*\sqrt{5} \sqrt{6}$

                           =$5+6+2\sqrt{5} \sqrt{6}$

                            =$11+2\sqrt{5} \sqrt{6}$

                             =$11+2\sqrt{30}$

      The value obtained on Simplifying (√5+√6)² =  $11+2\sqrt{30}$

The project code is #SPJ2