Multiply,and then simplify if possible. Assume that all variables represent positive real numbers

Question

Multiply, and then simplify if possible. Assume that all variables represent positive real numbers 

 

√2(√2+y√6)

Answer 1

Start out with distributing √2 to the bracket(√2+y√6)

√2*√2+y√2*√6

√4+y√12  Now simplify by bringing out the perfect square numbers.

2+y*2√3

2+2*y√3

 

I hope this helps

 

Memorize this and it really get easy

1^2 = 1  &  √1 = 1

2^2 = 4 & √4 = 2

3^2 = 9  & √9 = 3

4^2 = 16  & √16 = 4

5^2  = 25  & √25 = 5

6^2 = 36  & √36 = 6

7^2  = 49  & √49 = 7

8^2 = 64  & √64 = 8

9^2 = 81  & √81 = 9

10^2 = 100  & √100 = 10

11^2 = 121  & √121 = 11

12^2= 144  & √144 = 12

13^2 = 169  & √169 = 13

14^2 = 196  & √196 = 14

15^2 = 225  & √225 = 15

 

20^2 = 400  & √400 = 20