Question

work out the mean of these numbers root 27 , root 48 and root 75 give your answer in the form a root 3 where A is an integer

Answer 1

Answer:

4 root 3

Step-by-step explanation:

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Answer 2

The answer is 4√3

GIVEN

Numbers = √27, √48, √75

TO FIND

The mean of the given numbers in the form of A√3

SOLUTION

We can simply solve the above problem as follows;

We know that,

Average = Sum of observations/Number of observations

Putting the values in the above formula we get;

$= \frac{ \sqrt{27} + \sqrt{48} + { \sqrt{75} } }{3}$

Factors of 27 = 3 × 3 × 3

We can write √27 as 3√3

Factors of 48 = 4 × 4 × 3

We can write √48 as 4√3

Factors of 75 = 5 × 5 × 3

We can write √75 = 5√3

Therefore,

$= \frac{3 \sqrt{3} + 4 \sqrt{3} + 5 \sqrt{3} }{3}$

Taking √3 common in the numerator

$= \frac{ \sqrt{3}(3 + 4 + 5) }{3}$

$= \frac{12 \sqrt{3} }{3}$

Dividing 12 by 3

= 4√3

Hence, The answer is 4√3

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