Question

(2) Find the square root by division method :- 51.84
(3) Find the cube root by prime factorization method : - 10648
How many sides does a regular polygon have if each of its interior angles​

Answer 1

Step-by-step explanation:

(2) 51.84 square root

7.2

____

7 √ 51.84

49

____

142 284

284

____

0

___

The square root of 51.84 is 7.2

(3) By prime factorisation, we have

2 | 10648

2 | 5324

2 | 2662

11 | 1331

11 | 121

11 | 11

| 0

3√10648 = 2 x 2 x 2 x 11 x 11 x 11

= 2x 11

= 22

Thus, the cube root of 10642 is 22.

(4) since the measure of each interior angle is 165 degree, we have

180 degree ( n-2 )

______________ = 165 degree

n

180 degree ( n-2 ) = 165 degree n

180 degree n - 360 degree = 165 degree n

180 degree n - 165 degree = 360 degree

15 degree n = 360 degree

n = 24

Hence, the regular polygon with interior angle each measuring 165 degree is a 24 sides polygon.