1.Find by factors the square root of 3600
2. Find by factors the cube root of 343

1)60

2)7

Step-by-step explanation:

1)The square root of 3600 is 60. It is the positive solution of the equation x2 = 3600. The number 3600 is a perfect square.

2)The cube root of 343 is the number which when multiplied by itself three times gives the product as 343. Since 343 can be expressed as 7 × 7 × 7. Therefore, the cube root of 343 = ∛(7 × 7 × 7) = 7.

Step-by-step explanation:

Note that 3600 can be rewritten as (60)(60) and that the square root of (60)(60) is 60.  Thus, the square root of 3600 is 60.

Dividing 343 by 7 yields (7)(49), which factors further into (7)(7)(7).

The cube root of (7)(7)(7) is 7.