Question

MARKING AS BRAINLIEST! LAST ATTEMPT! ) show ur work

Answer 1

Answer:

√28 = 2√7

√40 = 2√10

√108 = 6√3

√125 = 5√5

-6√81 = -54

√80 = 4√5

3√60 = 6√15

-√200 = -10√2

4√320 = 32√5

Step-by-step explanation:

1. The largest factor that's a square in 28 is 4, so the other factor must be 7.

• $\sqrt{28} = \sqrt{4} * \sqrt{7} = 2\sqrt{7}$

2. The largest factor that's a square in 40 is 4, so the other factor must be 10.

• $\sqrt{40} = \sqrt{4} * \sqrt{10} = 2\sqrt{10}$

3. The largest factor that's a square in 108 is 36, so the other factor must be 3.

• $\sqrt{108} = \sqrt{36} * \sqrt{3} = 6\sqrt{3}$

4. The largest factor that's a square in 125 is 25, so the other factor must be 5.

• $\sqrt{125} = \sqrt{25} * \sqrt{5} = 5\sqrt{5}$

5. The square root of 81 is 9, and 9 times -6 is -54.

6. The largest factor that's a square in 80 is 16, so the other factor must be 5.

• $\sqrt{80} = \sqrt{16} * \sqrt{5} = 4\sqrt{5}$  

7. 3√60 is equivalent to √540 (because 60 x 9 = 540). The largest factor that's a square in 540 is 36, so the other factor must be 15.

• $\sqrt{540} = \sqrt{36} * \sqrt{15} = 6\sqrt{15}$

8. The largest factor that's a square in 200 is 100, so the other factor must be 2.

• $-\sqrt{200} = -\sqrt{100} * \sqrt{2} = -10\sqrt{2}$

9. 4√320 is equivalent to 5120 (because 320 x 16 equal 5120). The largest factor that's a square in 5120 is 1024, so the other factor must be 5.

• $\sqrt{5120} = \sqrt{1024} * \sqrt{5} = 32\sqrt{5}$