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Mathematics 50 Online
OpenStudy (mwhit2101):

Which of the following are equal to the expression below?

OpenStudy (mwhit2101):

One minute while I place inthe answers

OpenStudy (mwhit2101):

\[2*\sqrt{25}\]

OpenStudy (mwhit2101):

50 25 100 sqrt(100) sqrt(50) 10

OpenStudy (mwhit2101):

Which are equal to 2*sqrt(25)

OpenStudy (dtan5457):

50 25 100 logically, you know it can't be those, right?

OpenStudy (mwhit2101):

I'm quite sure 10 is, becuase sqrt(25)=5 and 2*5=10.

OpenStudy (mwhit2101):

Yes I would think

OpenStudy (dtan5457):

10 is one, of them but there is also one more.

OpenStudy (dtan5457):

2=square rt of 4

OpenStudy (mwhit2101):

Is it sqrt(50)

OpenStudy (dtan5457):

No

OpenStudy (mwhit2101):

oh

OpenStudy (dtan5457):

\[\sqrt{4}\times \sqrt{25}\]

OpenStudy (dtan5457):

You can only multiply if they are both in radicals

OpenStudy (dtan5457):

Then obviously sq rt of 100=10

OpenStudy (mwhit2101):

Ohhh I see! Cause' the sqrt(4)*sqrt(25)=sqrt(100)

OpenStudy (dtan5457):

yep.

OpenStudy (mwhit2101):

Ok that makes sense! thanks!

OpenStudy (mwhit2101):

You've been very helpful today. I'm very thankful

OpenStudy (mathstudent55):

\(2 \times \sqrt{25} = 2 \times 5 = 10\) You need answers that are equal to 10. Immediately, you can eliminate the first three. \(\cancel{50}\) \(\cancel{25}\) \(\cancel{100}\) sqrt(100) sqrt(50) 10

OpenStudy (mathstudent55):

Since the answer is 10, you can also immediately count this one in (in red): \(\cancel{50}\) \(\cancel{25}\) \(\cancel{100}\) sqrt(100) sqrt(50) \(\color{red}{10}\)

OpenStudy (mathstudent55):

Finally, look at \(\sqrt{100} \). It equals 10, so that one is in, which means \(\sqrt{50} \) must be out. \(\cancel{50}\) \(\cancel{25}\) \(\cancel{100}\) \(\color{red}{\sqrt{100}} \) \(\cancel{\sqrt{50}} \) \(\color{red}{10}\)

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