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Thank you We sneak and here's your shmoop du jour

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brought to you by hot dogs We hope you'll relish

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this one If four square root of ax equals eight

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Acts minus 24 what's the value of acts and hear

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potential answers all right little fashion algebra but what a

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mess It looks simple enough but once we realize that

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there's a square root on one side not the other

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and that multiplying or adding anything that both sides only

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makes it look more daunting it's almost enough to make

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us throw our hands up in the air give up

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on this problem and distract ourselves instead with a hot

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dog or two But then inspiration strikes You don't even

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have to worry about simplifying this equation in a test

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situation where every seconds precious why not go easy on

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ourselves and take a shortcut here All we have to

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do is plug in the four answer choices one by

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one until we find the one that makes the equation

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true It's quick it's easy and shortcuts go there's Very

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little chance of us getting it wrong So we'll start

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with a a and see if that works well Two

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point two five Lugging that into the equation We get

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four times square to two point two five equals eight

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times two Point two five minutes twenty four we'll square

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in a two point two five one point five times

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for and that six on the right side of the

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equation eight times two point two fives eighteen minutes twenty

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for well that's negative six we don't see any absolute

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value signs around that sucker so we could get rid

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of a what about c five else plugging in this

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time We've got four times square root of five which

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can be simplified more than four square route five equals

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eight times five or forty minus twenty four which is

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sixteen One side still has square root symbol on the

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other dozen Well in this scenario the equal signs a

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big fat liar and ain't see let's try d eight

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unfortunately that same problem here eight is the same as

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four times too so we can rewrite it as two

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square root of two But even still no matter how

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you cut it we're gonna end up with a square

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root symbol on the left side of the equation and

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there won't be one on the right so will bid

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and not so fond farewell to d well the right

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answer is b for the square root of four is

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exactly to which gets rid of that ugly symbol Two

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times Four is eight equals eight tons for or thirty

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two minus twenty four which is also ate and there's

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our true statement Speaking of true statements if he ever

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tried ordering a hot dog with ketchup in the city

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of chicago you will immediately be arrested You don't believe 00:02:25.865 --> [endTime] us Just try it We double hot dog area

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