I need help with this math?

Question

11: sqrt 33a^11b^11 times sqrt 3

12: k sqrt 2 times k sqrt 3

13: 3(sqrt 2+ sqrt 6)

14: 4(2 sqrt 2+3 sqrt 2

15: sqrt 2(3 sqrt 2-5 sqrt 2)

Answer 1

when multiplying surds, mulyiply only what is under the sqrt sign by only what is under the sqrt sign. what is out by what is out.

in no. 11, if everything is under the sqrt sign, the answer is

sqrt 99a^11b^11.

no. 12

(kxk) sqrt (2x3)

k^2sqrt6

13

the 3 applies to both

=3sqrt 2 + 3 sqrt 6

14nd 15, same story

Answer 2

sqrt 33a^11b^11 times sqrt 3

can't do much to this

√ (99a^11b^11)

k sqrt 2 times k sqrt 3

k²√6

3(√2 + √6)

3(√2 + √(3*2))

3√2(1+√3)

4(2√2+3√2)

4√2(2+3)

20√2

√2(3√2 - 5√2)

√2*√2(3 - 5)

2(3 - 5)

-4

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