Question

How do you simplify `sqrt300/sqrt6`?

Answer 1

`(sqrt300)/(sqrt6)=sqrt50=5sqrt2`

Explanation:

`(sqrt300)/(sqrt6)`
`rArr sqrt(300/6)`
`rArr sqrt50 color(white)( "d")=sqrt(5^2xx2)`
`rArr 5sqrt2`

Answer 2

`5sqrt2`

Explanation:

`"using the "color(blue)"law of radicals"`

`•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)`

`•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)`

`rArrsqrt300/sqrt6`

`=sqrt(300/6)=sqrt50`

`sqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2`