Write in ascending order.

Write in ascending order.

(i) 3√2, 2√3, √15, 4
(ii) 3√2, 2√8, 4, √50, 4√3

Solution:

(i) 3√2, 2√3, √15, 4
3√2 = √(9×2) =√18
2√3 = √(4×3) =√12
√15 = √15
4 = √16
Now, let us arrange in ascending order
√12, √15, √16, √18
So,
2√3, √15, 4, 3√2
(ii) 3√2, 2√8, 4, √50, 4√3
3√2 = √(9×2) =√18
2√8 = √(4×8) =√32
4 = √16
√50 = √50
4√3 =√(16×3) = √48
Now, let us arrange in ascending order
√16, √18, √32, √48, √50
So,
4, 3√2, 2√8, 4√3, √50

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