During the week 2, we learned how to convert entire radicals to mixed radicals and mixed radicals to entire radicals.

To convert the entire radical to mixed radical, first you have to find the highest perfect square and the factor. Second,  divide the perfect square and then remove it from the root and write down the factor of the perfect square beside the square root.

For example – To convert the entire radical of 45 to mixed radical, you have to find the perfect square& the other factor of 45 which is 9&5. Divide 9 by 3 and remove it from the squreroot. Leave the number 5 because it’s not a perfect square. Write down number3 beside squareroot of 5 and it becomes mixed radical.

Converting the mixed radical to the entire radical, It’s pretty simple and easy compared to converting the entire radical to the mixed radical. You just have to multiply the coefficient by itself and then multiply it by the number inside the square root.