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  • Enter the following expression in the answer box below: 2gλ.3m—–√, where λ is the lowercase Greek letter lambda.

Enter the following expression in the answer box below: 2gλ.3m—–√, where λ is the lowercase Greek letter lambda.

Enter the following expression in the answer box below: 2gλ.3m-----√, where λ is the lowercase…

Answer

The correct answer is: $\sqrt{6gm\lambda}$

Explanation

You have a square root over the product $2g\lambda\cdot3m$. Multiply the numeric factors $2$ and $3$ to get $6$, then combine the remaining symbols under the radical.

Steps:

  1. $$2\times3=6$$
  2. $$\sqrt{2g\lambda\cdot3m}=\sqrt{6gm\lambda}$$

Therefore the expression simplifies to $\sqrt{6gm\lambda}$.