Question

4√81+8×3√216+15×5√32+√225​

Answer 1

Step-by-step explanation:

$= 4 \sqrt{81} + 8 \times 3 \sqrt{216} + 15 \times 5 \sqrt{32} + \sqrt{225} \\ = (4 \times 9) + 8 \times (3 \times 6 \sqrt{6}) + 15 \times (5 \times 4 \sqrt{2}) + 15 \\ = 36 + 8 \times 18 \sqrt{6} + 15 \times 20 \sqrt{2} + 15 \\ = 36 + 144 \sqrt{6} + 300 \sqrt{2} + 15 \\ = 51 + 144 \sqrt{6} + 300 \sqrt{2} \\ = 51 + (144 \times 2.44) + (300 \times 1.41) \\ = 51 + 351.36 + 423 \\ = 402.36 + 423 \\ = 825.36$

Your answer is 825.36 (approximately).

Also, you can leave it as (51 + 144√6 + 300√2).

Hope it helps!!