Maths-
General
Easy

Question

Approximate square root of 8 to the nearest hundredth.

hintHint:

Hint:
The first digit after the decimal represents the tenth place. The next digit after the decimal represents the hundredth place and it goes on till no digits are left. For example in 1.47, the  tenth place has digit 4 while the hundredth place has digit 7

The correct answer is: 2.83.


    Let’s say x =square root of 8
    Step 1 of 3:
    Let’s factorise the number inside the square root i.e 8
    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 8 equals 2 cross times 2 cross times 2 end cell row cell 8 equals 2 squared cross times 2 end cell end table
    Step 2 of 3:
    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 squared cross times 2 end root end cell row cell x equals 2 square root of 2 end cell end table
    Step 2 of 3:
    The approximate value of square root of 2 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 2 cross times 1.41421 horizontal ellipsis end cell row cell x equals 2.82842 horizontal ellipsis horizontal ellipsis end cell end table
    The approximate value of square root of 8 to the nearest hundredth is 2.83
    Final Answer:
    Hence, the approximate value of square root of 8 to the nearest hundredth is 2.83.

     

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