Answer:
Step-by-step explanation:
1) To find the cube root of a number prime factorize
46656 = 2*2*2*2*2*2 * 3 * 3 * 3 * 3 * 3 * 3
![\sqrt[3]{46656}=\sqrt[3]{2*2*2*2*2*2*3*3*3*3*3*3} =2*2*3*3 = 36](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B46656%7D%3D%5Csqrt%5B3%5D%7B2%2A2%2A2%2A2%2A2%2A2%2A3%2A3%2A3%2A3%2A3%2A3%7D%20%20%3D2%2A2%2A3%2A3%20%3D%2036)
Length of each side = 36 m
Q) i) -512 = (-8) * (-8)*(-8)
-512 is a cube number
v) -17576 = (-26) * (-26)*(-26)
-17576 is cube number
Answer:
The largest possible area of the deck is 87.11 m² with dimensions;
Width = 9.33 m
Breadth = 9.33 m
Step-by-step explanation:
The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square
Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area
The length of the given railing = 28 m
The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each
The area of a square of side s = s²
The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;
Width = 28/3 m = 9.33 m
Breadth = 28/3 m = 9.33 m.
Answer:
The value of √46 is between 6.5 and 7.
Step-by-step explanation:
We can use perfect squares to solve this problem.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.
So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.
√36 = 6
√46 = ?
√49 = 7
Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.
