Question

3. Find the value of the following:
a. √12 x √27
b. √44 x √99
d. √243x√147
c. √32 x √98​

Answer 1

Answer:

a. 18

b. 66

c. 189

d. 56

Step-by-step explanation:

a)

$\sqrt{12} \times \sqrt{27} \\ = \sqrt{2 \times 2 \times 3} \times \sqrt{3 \times 3 \times 3} = \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 3} \\ = 2 \times 3 \times 3 \\ = 18$

b)

$\sqrt{44} \times \sqrt{99} \\ = \sqrt{2 \times 2 \times 11} \times \sqrt{3 \times 3 \times 11} \\ = \sqrt{2 \times 2 \times 11 \times 11 \times 3 \times 3} \\ = 2 \times 3 \times 11 \\ = 66$

c)

$\sqrt{243} \times \sqrt{147} \\ = \sqrt{3 \times 3 \times 3 \times 3 \times 3} \times \sqrt{3 \times 7 \times 7} \\ = \sqrt{3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 7 \times 7} \\ = 3 \times 3 \times 3 \times 7 \\ = 189$

d)

$\sqrt{32} \times \sqrt{98} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2} \times \sqrt{2 \times 7 \times 7} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7} \\ = 2 \times 2 \times 2 \times 7 \\ = 56$

hope you get your answer