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Q.

The square root of 3 and also correct it to four decimal places is:

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a

1. 7323

b

1. 7321

c

1. 7328

d

1. 7324

answer is B.

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Detailed Solution

Concept: We can find the square root of this question using the long division method. The value that a number produces when it is multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For instance, √16 = 4. The root symbol or surds is another name for the radical symbol. If an integer forms a perfect square, finding its square root is simple. Long division can be used to get the square root if the provided integer is not a perfect square.

	$1 .$	7	3	2	0	5
1	$\underset{̲}{3} .$	$\underset{̲}{00}$	$\underset{̲}{00}$	$\underset{̲}{00}$	$\underset{̲}{00}$	$\underset{̲}{00}$
1	1
27	2	00
7	1	89
343		11	00
3		10	29
3462			71	00
2			69	24
34640			1	76	00
0					00
346405			1	76	00	00
			1	73	20	25
				2	79	75

The fifth decimal digit is 5 in this case, so we round off 1. 73205 to 1. 7321.
Hence, the correct answer is option (2).

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