Question

Simplify √48x^10y^13 to the form a√b

Answer 1

Question:

Solution:

Consider the following expression:

`\sqrt{48x^(10)y^(13)}`

Applying the properties of radicals, we get:

`√(48)\sqrt{x^(10)}\text{ }\sqrt{y^(13)}`

now, this is equivalent to:

`4√(3)\sqrt{x^(10)}\text{ }\sqrt{y^(13)}`

this is equivalent to:

`4√(3)\text{ x}^5y^6√(y)`

this is equivalent to:

`4\text{x}^5y^6√(3)\text{ }√(y)`

finally, applying the properties of radicals, we get:

`4\text{x}^5y^6√(3y)\text{ }`

Answer: we can conclude that the correct answer is:

`a=4x^5y^6`

and

`b=3y`