Question

given that √4096=64, the value of √4096+√40.96 is
A) 74
B) 60.4
C) 64.4
D) 70.4

Pls give the answer with explanation.

Answer 1

D) 70.4

The value of $\sqrt{4096}+\sqrt{40.96}$ is 70.4

Given data:

$\sqrt{4096}=64$

To find:

The value of $\sqrt{4096}+\sqrt{40.96}$

Step-by-step explanation:

We intend to find the value of $\sqrt{40.96}$ first by using $\sqrt{4096}=64$.

Here, $\sqrt{4096}=64$

$\Rightarrow \sqrt{\dfrac{4096}{100}\times 100}=64$

$\Rightarrow \sqrt{\dfrac{4096}{100}}\times\sqrt{100}=64$

$\Rightarrow \sqrt{40.96}\times 10=64$

$\Rightarrow \sqrt{40.96}=\dfrac{64}{10}$

$\Rightarrow \sqrt{40.96}=6.4$

Now, $\sqrt{4096}+\sqrt{40.96}$

= 64 + 6.4

= 70.4

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