Question

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Answer 1

Hence, the Answer is

13. 4 sqrt(3)

14. sqrt(7)/2

Solution:

13. sqrt(2) * sqrt(3) * sqrt(8)

We know sqrt(a) * sqrt(b) = sqrt(ab)

sqrt(48)

Look for perfect squares

sqrt(16*3)

sqrt(16) sqrt(3)

4 sqrt(3)

14. sqrt(14)/ 2 sqrt(2)

We know sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt(14/2) / 2

sqrt(7)/2

Answer 2

13. 4 sqrt(3)

14. sqrt(7)/2

Explanation:

13. sqrt(2) * sqrt(3) * sqrt(8)

We know sqrt(a) * sqrt(b) = sqrt(ab)

sqrt(48)

Look for perfect squares

sqrt(16*3)

sqrt(16) sqrt(3)

4 sqrt(3)

14. sqrt(14)/ 2 sqrt(2)

We know sqrt(a) / sqrt(b) = sqrt(a/b)

sqrt(14/2) / 2

sqrt(7)/2