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Maths-

General

Easy

Question

Approximate the following irrational numbers to the nearest whole number. $square root of 18$

The correct answer is: 4

Let’s say x = $square root of 18$
Let’s factorise the number inside the square root i.e 18

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 18 equals 2 cross times 3 cross times 3 end cell row cell 18 equals 2 cross times 3 squared end cell end table$
Put the factorised in the square root
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals square root of 2 cross times 3 squared end root end cell row cell x equals 3 square root of 2 end cell end table$
$square root of 2$ is an irrational number and its approximate value is 1.41421…
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals 3 cross times 1.41421 horizontal ellipsis end cell row cell x equals 4.24264 horizontal ellipsis end cell end table$
As the digit after the decimal point is 2 which is less than 5. So, the nearest whole number will be 4.
Final Answer:
Hence, the nearest whole number of $square root of 18$ is 4.

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