Question

Which expression is equivalent to sqrt10/4sqrt8

Answer 1

Explanation:

Since it's a division we need to look for a common factor to cancel

so first we try to break the numbers to there prime factors

`(√(10) )/(4√(8) ) = (√(2.5) )/(4√(2.2.2) )`

So , now we try to factors that are common in top and bottom

`= (√(2) √(5))/(4√(2)√(4) )`

common factor is sqrt 2 so lets cancel it

we get

`(√(5) )/(4√(4) )`

`(√(5) )/(8)`