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nikitadnepr [17]
3 years ago
14

Simplify square root of five times the quantity ten minus four square root of two.

Mathematics
2 answers:
vivado [14]3 years ago
6 0

Answer:

not sure what it's asking but ; the answer is 10√5 - 4√10

(not sure)

Step-by-step explanation:

Y_Kistochka [10]3 years ago
6 0

Answer:

The answer is √2.

Step-by-step explanation:

The operation can be expressed like:

\sqrt{5*10} - 4\sqrt{2}

You have to multiply what's inside of the first root

\sqrt{50} -4\sqrt{2}

Then, you have to find the factors of 50 which are 5²×2.

\sqrt{25*2} -4\sqrt{2}

If there's a squared number inside a square root, you can take it out of the square root.

\sqrt{5^{2} *2} -4\sqrt{2}

And now, you can subtract the square roots as the have the same radical term (2), so 5-4 = 1

5\sqrt{2} -4\sqrt{2}

1\sqrt{2} or \sqrt{2}

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