Question

What is the simplified form of sqrt 400x100? 200x50 200x10 20x50 20x50

Answer 1

√400 x √100 = 40,000
√40,000 = 200

So your answer is 200 x 10.

Hope this Helps!!

Answer 2

Answer: The required simplified form is 20 × 10.

Step-by-step explanation: We are given to find the simplified form of the following radical expression :

`E=√(400* 100).`

We will be using the following property of radicals :

`(i)~√(x)=x^(1)/(2)\\\\(ii)~√(a* b)=\sqrt a*\sqrt b.`

Therefore, we have

`E\\\\=√(400* 100)\\\\=√(400)*√(100)\\\\=√(20^2)*√(10^2)\\\\=((20)^2)^(1)/(2)*(10^2)^(1)/(2)\\\\=20^{2*(1)/(2)}*(10)^{2*(1)/(2)}\\\\=20*10.`

Thus, the required simplified form is 20 × 10.