Question

answer the following questions please...​

Answer 1

Answer:

Step-by-step explanation:

1. √10 * √15

= √2*5*5*3

=  5√6

2. (3√5-5√2)(4√5+3√2)

  = 3√5(4√5+3√2)-5√2(4√5+3√2)

  = 60+9√10-20√10-60

 = 9√10-20√10

 =-11√10

3. (i) (√11-√5)²

     = (√11)²-2*√11*√5+(√5)²

     = 11-2√55+5

     =16-2√55

   (ii) (3+2√2)(3-2√2)

       = (3)²+(2√2)²     ( identity (a+b)(a-b)=a²-b²)

       =9+8

       = 17

5. √625 -8∛125+$\sqrt[4]{}$81+15$\sqrt[5]{}$32

   = 25 - 8*(5)³$^{1/3}$+(3)$^{4}$$^{1/4}$+15*(2)$^{5}$$^{1/5}$

  = 25-40+3+30

  = 28-10

  =18