Question

What is the square root of 21 divided by the square root of 3

Answer 1

`√(7)`

Step-by-step explanation

`(√(21))/(√(3))`

Step 1

replace the value of 21 by 3*7

3*7=21

`\begin{gathered} (√(21))/(√(3)) \\ \\ (√(7\cdot3))/(√(3)) \end{gathered}`

Step 2

root of 3 is eliminated

`\begin{gathered} (√(7\cdot3))/(√(3)) \\ \\ (√(7)√(3))/(√(3)) \\ (√(7))/(1) \end{gathered}`

so, the answer is

`√(7)`