Question

Please explain how to solve these questions..it would be a great help

Answer 1

Answer:

√2 + √3   and  45

Step-by-step explanation:

⇒ √( 5 + 2√6 )

           √6 = √2 * √3

⇒ √( 2 + 3 + 2√2*√3 )

⇒ √( √2^2 + √3^2 + 2√2√3 )

       Using a^2 + b^2 + 2ab = ( a + b )^2

⇒ √( √2 + √3 )^2

⇒ √2 + √3

       Question 2 :

⇒ 2^A = 3   ⇒ (2^A)^2 = 3^2

          ⇒ 2^(2A) = 9

  Also,

2^B = 5

     Multiply the above results :

⇒ 2^( 2A ) * 2^B = 9 * 5

⇒ 2^( 2A + B ) = 9 * 5

⇒ 2^( 2A + B ) = 45

     

          Here, we used properties of exponents.