Question

Find the square root of 4000 by prime factorisation. Please answer this by showing the steps...​

Answer 1

Answer:

I believe the question should have been square root of 40000, then the answer would have been 20,

but if it is 4000, the answer is 20$\sqrt{10}$

Step-by-step explanation:

factorisation of 4000 =

2 | 4000

2 | 2000

5 | 1000

2 | 200

5 | 100

2 | 20

5 | 10

2 | 2

    1

So $\sqrt{4000}$ = $\sqrt{2 . 2 . 2. 2. 2 . 5 . 5 .5}$              ( ‘.’ Sign is substitute for multiply sign)

= 2 x 2 x 5 $\sqrt{2 . 5}$

= 20$\sqrt{10}$