" 3.344 " .

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Step-by-step explanation:

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Note:  √5  =    .

 →  {Since:   } ;

       and note the following property of "roots" :

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              →    '

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      .

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    →     ;

       =    * 5^{(1/4) ;

       =     ;

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Note:  Refer to the following property of exponents:

          →    xᵃ  * xᵇ =  x⁽ᵃ ⁺ ᵇ⁾

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Now, (1/2) + (1/4) = ? ;  

Note:  (1/2) = (?/4)  ?? ;

 →  Look at the "denominators" ;

     2 * ? = 4  ? '

        →  4 ÷ 2 = ? ;

        →  4 ÷ 2 = 2 .

 →  So:  2 * 2 = 4; ;

→  Now, look at the "numerators" ;

          1 * 2 = 2 ;

So,  (1/2) = (2/4) ;

→  (1/2) + (1/4) = (2/4) + (1/4) =  (2 + 1) / 4 =  3/4 .

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So:   ;

         =   ;

         =  3.34370152488  ; (using calculator) ;

             → round to:  " 3.344 ".

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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.