Question

Express 4√1875 in its simple form

Answer 1

Answer is 173.2050
Please follow me

Answer 2

Greetings mate,
__________________________________________________

First we split √1875 into simple numbers by taking L.C.M

√1875 = √( 5 x 5 x 5 x 5 x 3)

We do it like so....  ↓

               5 | 1875
               5 |   375
               5 |     75
               5 |     15
               3 |       3
                          1

∴ we obtain factors of √1875 as √( 5 x 5 x 5 x 5 x 3)
Now we take a pair of the same numbers outside the root as one number.
Like so....↓
⇒ 5 x 5√3 ⇔ 25√3
Then we substitute the new derived value of √1875 in the original question...
↓

⇒ 4 x 25 √3                          [ As we know  √3 = 1.732 ]
⇒ 100 x 1.732
⇒ 173.2                                [ Answer.]
_____________________________________________________

P.S : Enjoy ;)