SAT Math Made Easy 😎

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SAT Math Made Easy 😎
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I would probably start by taking the root of both sides, then x/5 = 6 so x is 30

iancharles
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All you have to do is realize every other answer is unreasonable

vx
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yall if you know the SAT well you see that 30 is sqrt 900 and since x will have to be the square root of a number, 900 is most likely a decoy from 30, the right answer. look for patterns if you are in a pinch!

littlev
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I thought of it like this:
x^2/5^2 = 6^2
Which is also:
(x/5)^2 = 6^2
Then:
sqrt of (x/5)^2 is just x/5
Do the same for 6^2 where sqrt of 6^2 is just 6 so:
x/5 = 6
Multiply 5 on both sides:
x = 30

Again, this is a solution.

TheAwesomeAnan
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(Sq rt of 25, is 5) × (Sq rt of 36, which is 6) = x, which gives us 30. For rules just put the times 25 over with the 36 and when you square root you can square root each individually before multiplying. This explanation is only important if you are confused about how he did the square root of 25×36, which would be 900.

Qazikame
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I did it a little differently...
(xˆ2)/(5ˆ2) = (6ˆ2)
(xˆ2) = (6ˆ2)(5ˆ2)
xˆ2 = 30ˆ2 (it's exponent rule)
x = 30
I did it without a calc but looking at other comments it was possible to do it an even easier way w/out calc :P

joshuamathew
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It took me 4 seconds in my head. After multiplying by 25, there is only 1 answer it could be ( it has to be between 25 and 36) and the only option there is 30

invertfnm
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Here was my way of working it out:

x^2 / 25 = 36
x^2 = 25 × 4 × 9
x^2 = 100 × 9
x^2 = 900
x = 30

Did it without a calculator so thats why it's so weird 😭 should have noticed that 36 and 25 are both squares

AyaanThene
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36 x 25 = 900, which means 30 x 30 = 900

It has to be 30^2/25 = 36

SmartGenuis
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This seems to simple to be on the sat wth. Also even if you don’t know how to do it just plug in all the choices and see which one works🤣

mregghead
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For ppl who don't understand:

x²/25 = 36

1st he isolated x on one side of the equation

x² = 36 × 25

2nd he took the square root of each side

x = sqrt(36 × 25)

Now here is a rule with roots and exponents in general: you can break up factors which move outside of the root if they are square-rootable. I'd search up "prime factorization" if you need more help understanding this.

So x = sqrt[(6 × 6) × (5 × 5)]

The 6s and 5s move outside:

x = 6 × 5

x = 30

nahzea
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Or... you can sqrt as the first step since everything is a perfect square.

Katavicta
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Other easy way. Add 36+25=61 round to 60, then divide by 2. So. 60/2=30❤❤🎉🎉🎉🎉

mex
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Me: 30 is closest to 25 ans 36 so it should be that

nvsp
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It’s easy just multiply 25 by 36. You get 900 and the square root of 900 is 30.

Theaverageperson
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Can't you just test all the answers 😂 to see which gets to 36. For example : 6² ÷ 25 if it's not 36, you just continue with the next one till you see which is 36

GGGG
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This type of question definitely would be in the no calculator section. On top of that u missed the crucial identity of square roots that makes this problem feasible. Low effort content.

RilayB
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just do x/5 =6, then x = 30. super easy.

alyme_r
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lol I thought at first he was showing the wrong solution wasting a lot of time, but the proper solution ( rooting everything ) never came...

karkius
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or just guess that the last 2 choices are way too off and choice a squared is the result itself so only B makes sense

vfxentity