Question

how can
$\sqrt{2 \times 20 } = 20 \sqrt{2}$
​

Answer 1

Answer:

√2×20 can be written as √40

If we simplify √40 , we get √2³ × 5

so we take out 2 and 2×5 remains under the root

∴√2×20 = 2√10

not 20√2

Hope it helped :)

Answer 2

Step-by-step explanation:

√2 × 20 = 20√2

√2 × √20 = 20√2

√2 on both the side cancel.

= √20 = 20

√20 × √20 = 20

So

1 = √20

1 = √4 × √5

1 = 2√5

Hence proved that both are not equal