Question

Simplify:3√75+5√48-√243​

Answer 1

Answer:

23√3

Step-by-step explanation:

You can express each number in square root as a multiple of 3 as follows

3√3 x 25 + 5√3 x 16 - √81 x 3

Here, 25, 16 and 81 are squares of 5, 4 and 9

You can take out 5, 4 and 9 from the under root

15√3 + 20√3 - 9√3

These all are like surds, so you can add them as follows

(15 + 20 - 9)√3

= 26√3