Question

given that the square root of 4225 =65 find the value of the square root of 4225 plus square root of 42.25

Answer 1

Answer:

65+6.5=71.5.

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Explanation

2 digit decimal places square root gives 1 decimal place result.

Answer 2

Answer:

The value of $\sqrt{4225}+\sqrt{42.25}$ is 71.5.

Step-by-step explanation:

It is given that the square root of 4225 is 65.

⇒ $\sqrt{4225} =65$

To find:-

The value of $\sqrt{4225}+\sqrt{42.25}$.

Step 1 of 2

Consider the square root as follows:

$\sqrt{42.25}$

Rewrite the square as follows:

$\sqrt{\frac{4225}{100} }$

$\frac{\sqrt{4225} }{\sqrt{100} }$ . . . . . (1)

The square root of 4225 is 65, i.e.,

$\sqrt{4225} =65$

And the square root of 100 is 10, i.e.,

$\sqrt{100} =10$

Then equation (1) becomes,

$\frac{\sqrt{4225} }{\sqrt{100} }=\frac{65}{10}$

        $=6.5$

Hence, the square root of 42.25 is 6.5.

Step 2 of 2

Consider the sum of square roots as follows:

$\sqrt{4225}+\sqrt{42.25}$

Substitute the values of $\sqrt{4225}$ and $\sqrt{42.25}$ as follows:

$\sqrt{4225}+\sqrt{42.25}=65+6.5$

                          $=71.5$

Final answer: The value of $\sqrt{4225}+\sqrt{42.25}$ is 71.5.

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