Evaluate square root of 24 - x when x = 6 . Write the answer in simplified radical form.?

1 answer:

4 0

So, first we input 6
24 - 6 = 18
So we now need to find the square root of 18
If you're allowed to use a calculator, the square root is 4.242

But if you don't, let's get as close as we can:
√(9 * 2)
Because the square root of 9 is 3:
3 * √2

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$\text{Hey there!}$

$\mathsf{How\ many\ times\ does\ 6\ go\ into\ 40?}$

$\mathsf{Here\ is\ your\ equation: 6p=40}$

$\mathsf{6p=40}\\\\\mathsf{Divde\ both\ sides\ by\ 6}\\\\\mathsf{\dfrac{6p}{6}=\dfrac{40}{6}}\\\\\mathsf{Cancel\ out\ \dfrac{6p}{6}\ because\ it\ gives\ the\ result\ of\ 1}\\\\\mathsf{Keep: \dfrac{40}{6}\ because\ that\ helps\ us\ solve\ for\ the\ answer!}$

$\mathsf{\dfrac{40\div2\leftarrow numerator}{6\div2\leftarrow denominator}}\\\\\\\mathsf{40\div2=20}\\\\\mathsf{6\div2=3}\\\\\\\boxed{\boxed{\mathsf{Answer: \dfrac{20}{3}\ or\ you\ could\ say\ 6.67}}}$ $\checkmark$