[tex]\sqrt{51}[/tex] is the closest square root to 7.
What is square root?
The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.
[tex]\sqrt{51} = 7.141\\\sqrt{50} = 7.071\\ \sqrt{46} = 6.782\\ \sqrt{47} =6.855[/tex]
(using calculator)
Absolute distance from 7 :
|7.141 - 7| = 0.141
|7.071 - 7| = 0.71
|6.782 - 7| = 0.218
|6.855 - 7| = 0.145
(The absolute value of a number refers to the distance of a number from the origin of a number line. It is represented as |a|, which defines the magnitude of any integer ‘a’. The absolute value of any integer, whether positive or negative, will be the real numbers, regardless of which sign it has. It is represented by two vertical lines |a|, which is known as the modulus of a.)
Since, 0.141 is the least distance. [tex]\sqrt{51}[/tex] is the closest square root to 7.
Learn more about square root here
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