8 grade maths> Find the cube root of each of the followi...
Find the cube root of each of the following cube numbers through estimation.
(i) 19683
(ii) 59319
(iii) 85184
(iv) 148877
1 AnswersLast Activity: 5 Months ago
To estimate the cube root of each of these numbers, we will start by identifying the cube roots of perfect cubes near the given numbers, and then refine our estimation.
(i) 19683:
First, let's identify cube numbers close to 19683:
27^3 = 19683.
So, the cube root of 19683 is 27.
(ii) 59319:
Next, we estimate the cube root of 59319:
38^3 = 54872
39^3 = 59319
So, the cube root of 59319 is 39.
(iii) 85184:
Now, for 85184:
44^3 = 85184.
So, the cube root of 85184 is 44.
(iv) 148877:
Finally, let's estimate the cube root of 148877:
48^3 = 110592
49^3 = 117649
50^3 = 125000
51^3 = 132651
52^3 = 140608
53^3 = 148877
So, the cube root of 148877 is 53.
Summary:
Cube root of 19683 is 27.
Cube root of 59319 is 39.
Cube root of 85184 is 44.
Cube root of 148877 is 53.
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