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1 year ago

Simplify. √75 OA. 3√5 OB. 15√5 OC. 25√3 OD. 5√3

Mathematics

1 answer:

Ludmilka [50]1 year ago

6 0

Answer:

Option D

Step-by-step explanation:

Using the surd law :

$\sqrt{ab} = \sqrt{a}\sqrt{b}$

We can find the largest square number that goes into 75 :

Let's write the multiples of 75 :

1 , 75

3 , 25

5 , 15

The only square number is 25

So using the law mentioned above we split √75 into :

√25√3

The square root of 25 is 5

Now we have our final answer of 5√3

Hope this helped and have a good day

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Step-by-step explanation:

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Formula to Find Distance between two points

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2. $mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}$

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4. $AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

5. $BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

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$mAB=-\frac{1}{3}$

$mCD=3$

$mAB \times mCD = -\frac{1}{3} \times 3 = -1$

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

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