Question

Find the square root of √400*49

Answer 1

Answer:

The answer is 140

Step-by-step explanation:

$\sqrt{400\times 49}=\sqrt{400}\times \sqrt {49}\\=\sqrt{20^2}\times \sqrt {7^2}=20\times 7=140$

Answer 2

Given: √400*49

To find: The square root of √400*49.

Solution:

According to the question, the square root of the product of 400 and 49 is to be calculated. In order to do that, the two numbers need not be multiplied initially. This is because the two numbers are perfect squares. Hence, first, their square root is obtained separately, and then, their square roots are multiplied.

$\sqrt{400*49}= \sqrt{400} * \sqrt{49}$

                $= 20 * 7$

                $=140$

Therefore, the square root of √400*49 is 140.