Question

7.
Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.
(NCERT)
8. Find the least square number, which is exactly divisible by 3, 4, 5, 6 and 8.
(NCERT Exemplar)
The area of a square plot is 101
1
m². Find the length of one side of the plot.
400
Find the value of V162+ V38+ V121.
11. Given that V3136 = 56, find the value of 31.36 + 0.3136.
•36, OSC
o 56
10.​

Answer 1

Answer:

Answer 7 ) The number that is perfectly divisible by each of the numbers 8, 15, and 20 is their LCM. 2 8, 15, 20 2 4, 15, 10 2 2, 15, 5 3 1, 15, 5 5 1, 5, 5 1, 1, 1 LCM of 8, 15, and 20 = 2 × 2 × 2 × 3 × 5 =120 Here, prime factors 2, 3, and 5 do not have their respective pairs. Therefore, 120 is not a perfect square. Therefore, 120 should be multiplied by 2 × 3 × 5, i.e. 30, to obtain a perfect squre Hence, the required square number is 120 × 2 × 3 × 5 = 3600

Step-by-step explanation:

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