Question

Solve for t. https://mooreps.owschools.com/media/g_alg01_2016/8/51.gif

Answer 1

need help

Answer 2

so remember what we did last time? moving things around

Answer 3

this time, let's move `t` to the other side

and then we move that 72 on to the other side

Answer 4

that way we can have t all by itself on one side of the equal sign

Answer 5

Sound like a good plan to you?

Answer 6

yep

Answer 7

\(\sqrt{52} - t = 72\)

so what do you get when you add `t` to both sides?

Answer 8

?

Answer 9

t i mean

Answer 10

is that supposed to be a t or a 2
on the right hand side

Answer 11

Presto! You got it then!

Answer 12

Have you learned how to simplify radicals yet? Because we can simplift sqrt(52)

Answer 13

ok

Answer 14

can you find two numbers that multiply to give you 52?

since it ends with a 2, you know that you can divide it by 2

Answer 15

13?

Answer 16

13 and what other number

Answer 17

4

Answer 18

good! so here's a rule that you should know

Answer 19

so we said 52 is equal to 13 and 4

so we have


what goes under those square root signs?

Answer 20

13 and 4 ?

Answer 21

good!

and 13 is a prime number so we won't be able to simplify it anymore

but what about sqrt(4)

is there a number that if you multiply it by itself will give you 4?

Answer 22

2

Answer 23

Well done!

Answer 24

That means we can re-write \(\sqrt{52}\) as \( 2\sqrt{13}\)

and so we get

Answer 25

yay

Answer 26

Good job! :D

Answer 27

thank you

Answer 28

It was my pleasure!

Answer 29

:)

Answer 30

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Created with RaphaëlReply Using Drawing
\(\color{#0cbb34}{\text{End of Quote}}\)
perfect explained - congrats !