Question

2√48-3√75+√300+√243​

Answer 1

Step-by-step explanation:

break 48 as 4*4*3 and take 4 outside the root

break 75as 3*5*5 and take 5 outside the root

break 300 as 10*10*3 and take 10 outside the root

break 273 as 9*9*3 and take 9 outside the root

and then add all of them

Answer 2

Answer:

12√3

Step-by-step explanation:

2√48 - 3√75 + √300 + √243

Let's express each number in under root as a multiple of 3

2√(16 x 3) - 3√(25 x 3) + √(100 x 3) + √(81 x 3)

Now, we can see that 16, 25, 100 and 81 are squares of 4, 5, 10 and 9 respectively, so we can take 4, 5, 10 and 9 out of the square root

8√3 - 15√3 + 10√3 + 9√3

Here, all the terms are like surds i.e. they have a common multiple which is √3, so we can take √3 common

√3(8 - 15 + 10 + 9) = √3(12) = 12√3