Verified answer

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Simplify radicals by factoring the radicand: You're looking for perfect squares.

1) for 4410, the sum of digits add to 9. This tells you that 4410 is divisible by 3 and sometimes by 9. In this case it's divisible by 9: so, let's start there.

4410 = 9•490

Notice that 490 is 49 times 10 and 49 is a perfect square. So,

4410 = 9•490 = 9•49•10 = 3²•7²•10

Now, 10 can't be factored to any perfect squares so we stop there.

Then,

√4410 = √(3²•7²•10) = 3•7√10 = 21√10

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2)

6√15 •√30...6√(3•5•3•2•5)...6√(3²•5²•2)

————–=——————=—————=

5√30 •√30..... 5√(30•30)........5√30²

6•3•5√2...90√2...3√2

———–=——–=—–

...5•30......150......5

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I hope that helps.

I had to leave for a bit.

So, if I'm duplicating an answer, that's why.

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6 w/e 15 doesnt go in evenly so idk