Question

Can someone please help? http://prntscr.com/afofwh

Answer 1

@FortyTheRapper

Answer 2

Radical is pretty much square root in human terms
Let's begin by finding C using the Pythagorean theorem. Are you familiar with that?

Answer 3

Sorta, I'm learning it in class this week.

Answer 4

So, basically it's

\[a^2+b^2=c^2\]

We take our value of a and square it, we take our value of b and square it, then we add them up and put a square root symbol over that answer

Answer 5

Alright so, 5=2.2360679775 We still add them up even if they are the same number?

Answer 6

Oh, you took the square root of the number 5, but we want to square the number 5 (Multiply it by itself)

Answer 7

Then you put the sqrt over it

\[\sqrt(a^2+b^2)\]

Answer 8

So like 2.2360679775 * 2.2360679775 = 5?

Answer 9

We would do for A, let's say

\[5^2\]

Answer 10

B is the same number in this case, so we do the same for B

Answer 11

sqrt(5^2 +5^2) so we just this equation?

Answer 12

Right, so what does 5^2 equal?

Answer 13

25

Answer 14

Right, so now we do sqrt(25+25). 25 + 25 = 50 right, so would you agree that

\[C^2 = \sqrt(50)\]

Answer 15

Yes, So that's what I write for C?

Answer 16

For this question, yes

\[\sqrt{50} \] is in simplified radical form

Answer 17

I mean unsimplified

Answer 18

Alright awesome, now to part b?

Answer 19

Yep
To simplify this, we need to know our perfect squares like 1,4,9, etc

1 = 1*1
4 = 2*2
9 = 3*3

and so on

Answer 20

Okay, so we're going to simplify \[\sqrt{50}\]

Answer 21

right?

Answer 22

Correct

Answer 23

In order to simplify it, we have to find 2 numbers that multiply to 50

One of those numbers, though, has to be a perfect square

Answer 24

\[\sqrt{2*5*5}\]

Answer 25

Like that ^

Answer 26

Yes! Right numbers, we just need to separate them

\[\sqrt{2}\sqrt{5*5}\]

5*5 = 25, so

\[\sqrt{2}{\sqrt{25}}\]

Answer 27

See how that bottom one equals \[\sqrt{50}\]

Answer 28

\[\sqrt[5]{2}\]

Answer 29

Yes, \[5\sqrt{2}\] is in simplified form, good job

Answer 30

Just remember to make it a big 5 and not a little 5

Answer 31

So thats what goes for part B?

Answer 32

Yep, \[5\sqrt{2}\], you found part B

Answer 33

How do we find it to the nearest hundredth now?

Answer 34

I like part C because C stands for calculator lol

Let's put \[\sqrt{50}\] in the calculator and see what we get

Answer 35

this is what i got http://prntscr.com/afoze2

Answer 36

It gave 7.07, which is in the hundredths, sounds good for a Part C answer!

Answer 37

Awesome! Thank you so much! Do you think you can help with 1 more problem?

Answer 38

Yeah, let's see it

Answer 39

Alright, lemme open a new thread. :)