Question

Упростите выражения: 1)√75+√48-√3002)3√8-√50+2√183)√242-√200+√84)√75-0.1√300-√27Даю 25 баллов!

Answer 1

Ответ:

$\sqrt{75} + \sqrt{48} - \sqrt{300} = \sqrt{ {5}^{2} \times 3 } + \sqrt{ {4}^{2} \times 3} - \sqrt{ {10}^{2} \times 3 } = 5 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{3} = - \sqrt{3}$

$3 \sqrt{8} - \sqrt{50} + 2 \sqrt{18} = 3 \sqrt{ {2}^{2} \times 2 } - \sqrt{ {5}^{2} \times 2} + 2 \sqrt{ {3}^{2} \times 2} = 6 \sqrt{2} - 5 \sqrt{2} + 6 \sqrt{2} = 7 \sqrt{2}$

$\sqrt{242} - \sqrt{200} + \sqrt{8} = \sqrt{ {11}^{2} \times 2 } - \sqrt{ {10}^{2} \times 2} + \sqrt{ {2}^{2} \times 2} = 11 \sqrt{2} - 10 \sqrt{2} + 2 \sqrt{2} = 3 \sqrt{2}$

$\sqrt{75} - \frac{1}{10} \sqrt{300} - \sqrt{27} = \sqrt{ {5}^{2} \times 3 } - \frac{1}{10} \sqrt{ {10}^{2} \times 3 } - \sqrt{ {3}^{2} \times 3} = 5 \sqrt{3} - \sqrt{3} - 3 \sqrt{3} = \sqrt{3}$

Answer 2

Ответ:

bench and I don't think it is the only thing I have ever been in a very strong team and I don't think it is

Пошаговое объяснение:

bench press release from a afternoons and the other is the first of many of our friends and neighbors to be the only thing that is not

Answer 3

Simplifying Expressions:

1) To simplify the expression √75 + √48 - √300, we can simplify each square root individually and then combine like terms.

- √75 = √(25 * 3) = √25 * √3 = 5√3 - √48 = √(16 * 3) = √16 * √3 = 4√3 - √300 = √(100 * 3) = √100 * √3 = 10√3

Therefore, the simplified expression is 5√3 + 4√3 - 10√3.

2) To simplify the expression 3√8 - √50 + 2√18, we can follow a similar process.

- √8 = √(4 * 2) = √4 * √2 = 2√2 - √50 = √(25 * 2) = √25 * √2 = 5√2 - √18 = √(9 * 2) = √9 * √2 = 3√2

Therefore, the simplified expression is 3√2 - 5√2 + 2√2.

3) For the expression √242 - √200 + √84, we can apply the same steps.

- √242 = √(121 * 2) = √121 * √2 = 11√2 - √200 = √(100 * 2) = √100 * √2 = 10√2 - √84 = √(4 * 21) = √4 * √21 = 2√21

Therefore, the simplified expression is 11√2 - 10√2 + 2√21.

4) Finally, let's simplify the expression √75 - 0.1√300 - √27.

- √75 = 5√3 (as we simplified earlier) - √300 = 10√3 (as we simplified earlier) - √27 = 3√3

Therefore, the simplified expression is 5√3 - 0.1 * 10√3 - 3√3.

I hope this helps! Let me know if you have any further questions.