Question

find value of √49 - √0.0225 / √5.76 - √4.41​

Answer 1

The value of √49 - √0.0225 / √5.76 - √4.41​ is $22.8\overline3$ .  

Given:

√49 - √0.0225 / √5.76 - √4.41​  

To find:

Find the value of √49 - √0.0225 / √5.76 - √4.41​  

Solution:

The numerical expression is  $\frac{ \sqrt{49} - \sqrt{0.0225} }{\sqrt{5.76} - \sqrt{4.41} }$  

Here

• √49  = √(7 × 7) = 7

• √0.0225  = √(0.15 × 0.15) = 0.15

• √5.76  = √(2.4 × 2.4) = 2.4

• √4.41​  = √(2.1 × 2.1) = 2.1

Now solve the above expression as follows

=> $\frac{ 7 - 0.15 }{ 2.4 - 2.1 }$

=> $\frac{ 6.85 }{ 0.3 }$  

=>  $22.8\overline3$  

Therefore,

The value of √49 - √0.0225 / √5.76 - √4.41​ is $22.8\overline3$ .  

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Answer 2

Answer: The value of √49 - √0.0225 / √5.76 - √4.41 is approximately 22.83 (rounded to two decimal places).

We can simplify the expression using the following steps:

Simplify the square roots:

                       √49 = 7

                      √0.0225 = 0.15

                    √5.76 = 2.4

                   √4.41 = 2.1

Substitute the simplified square roots in the expression:

               √49 - √0.0225 / √5.76 - √4.41 = 7 - 0.15 / 2.4 - 2.1

Simplify the numerator and denominator:

                    7 - 0.15 = 6.85

                   2.4 - 2.1 = 0.3

Substitute the simplified values in the expression:

                  (6.85 / 0.3) = 22.83333333...

Therefore, the value of √49 - √0.0225 / √5.76 - √4.41 is approximately 22.83 (rounded to two decimal places).

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