Maths-
General
Easy

Question

Estimate the value of the expressions to the nearest whole number.
5+square root of 50

hintHint:

Hint: 
For rounding off a number to the nearest whole number, we have to look at the first digit after the decimal point. If this digit is less than 5 i.e. 1, 2, 3 or 4 then we don’t have to do anything, but if the digit is 5 or greater i.e 5, 6, 7, 8, 9 we must round up. For example, the nearest whole number to the number 2.8 is 3 while in the case of 2.45, it will be 2.

The correct answer is: 12


    Let’s say x =  5 +square root of 50  and y = square root of 50 which means x = 5 + y
    Let’s factorise the number inside the square root i.e 50
    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 50 equals 2 cross times 5 cross times 5 end cell row cell 50 equals 2 cross times 5 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 y equals square root of 2 cross times 5 squared end root end cell row cell y equals 5 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 y equals 5 cross times 1.41421. end cell row cell y equals 7.07106 horizontal ellipsis end cell row cell x equals 5 plus y end cell end table
    Now,    x = 5 + y
    Putting the value of y
    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 5 plus 7.07106 horizontal ellipsis end cell row cell x equals 12.07106 horizontal ellipsis end cell end table
    As the digit after the decimal point is 0 which is less than 5. So, the nearest whole number will be 12.
    Final Answer:
    Hence, the nearest whole number of 5 + square root of 50 is 12.

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