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Question

A natural number exceeds three times its square root by 4. Find the number.

A
16
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B
20
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C
24
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D
28
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Solution

The correct option is A 16
Let the number be n
n3n=4
n4=3n
Squaring both sides:
(n4)2=9n
n217n+16=0
n216nn+16=0
(n16)(n1)=0
n=1,16
n=1 doesn't satisfy the condition, Hence, n=16

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