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Q.

Find the square root of 784 by prime factorization method.


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a

18

b

67

c

28

d

81 

answer is C.

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Detailed Solution

Concept- We will be using the prime factorization method to find the square root of 784.
Factors of 784 =2×2×2×2×7×7
⇒784=22×22×72
On canceling the square roots on both the side , we get
⇒factors of 784=2×2×7
Now,
2×2×7=28
Therefore, 28 is the square root of 784.
Hence, the correct answer is option 3.
 
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