Question

Which choices are equivalent to the quotient sqrt18/ sqrt9

Answer 1

Best choice: $\dfrac{\sqrt{18}}{\sqrt{9}}=\sqrt{2}$

The value of $\dfrac{\sqrt{18}}{\sqrt{9}}$ is $\sqrt{2}$.

Step-by-step explanation:

We can find the value of the given expression by finding the prime factors of the numbers inside the square root symbol or by simple division.

Finding prime factors:

Here, $\dfrac{\sqrt{18}}{\sqrt{9}}$

$=\sqrt{\dfrac{18}{9}}$

$=\sqrt{\dfrac{2\times 3\times 3}{3\times 3}}$

$=\sqrt{2}$

OR:

Doing simple division:

Here, $\dfrac{\sqrt{18}}{\sqrt{9}}$

$=\sqrt{\dfrac{18}{9}}$

$=\sqrt{2}$

• since $9\times 2=18$

Answer 2

Answer:

square root 2 and square root 4 over square root 2

Step-by-step explanation:

sqrt{2}

and

sqrt{4}/sqrt{2}

You're Welcome :)