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How do you simplify #2sqrt50 - 3sqrt8#?

Answer 1

Hazel Anglin

#4\sqrt{2}#

#2\sqrt{50}-3\sqrt{8}#

factor the square root value into prime numbers #2\sqrt{5\cdot5\cdot2}-3\sqrt{2\cdot2\cdot2}#

combine the square values #2\sqrt{5^2\cdot2}-3\sqrt{2^2\cdot2}#

factor out the squares and simplify #2(5)\sqrt{2}-3(2)\sqrt{2}=10\sqrt{2}-6\sqrt{2}=\color{indianred}{4\sqrt{2}}#

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Answer 2

Nathan Axel

To simplify 2√50 - 3√8, we can first simplify the square roots. The square root of 50 can be simplified as √(25 * 2), which equals 5√2. Similarly, the square root of 8 can be simplified as √(4 * 2), which equals 2√2.

Now, we can substitute these simplified values back into the original expression: 2√50 - 3√8 becomes 2(5√2) - 3(2√2).

Simplifying further, we have 10√2 - 6√2.

Combining like terms, we get 4√2 as the simplified form of 2√50 - 3√8.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.