Question

1 -√200+√8+√502- √72-√50+√1623- √18-√31+√72​

Answer 1

$\displaystyle\bf\\1)\\\\\sqrt{200} +\sqrt{8} +\sqrt{50} =\sqrt{100\cdot 2} +\sqrt{4\cdot 2} +\sqrt{25\cdot 2} =10\sqrt{2} +2\sqrt{2} +5\sqrt{2} =17\sqrt{2} \\\\\\2)\\\\\sqrt{72}-\sqrt{50} +\sqrt{162} =\sqrt{36\cdot 2} -\sqrt{25\cdot 2} +\sqrt{81\cdot 2} =6\sqrt{2} -5\sqrt{2}+9\sqrt{2} =10\sqrt{2} \\\\\\3)\\\\\sqrt{18} -\sqrt{32} +\sqrt{72} =\sqrt{9\cdot 2} -\sqrt{16\cdot 2}+\sqrt{36\cdot2}=3\sqrt{2} -4\sqrt{2} +6\sqrt{2} =5\sqrt{2}$

Answer 2

Ответ:вот

Объяснение:

Answer 3

To simplify the given expression:

1 - √200 + √8 + √502 - √72 - √50 + √1623 - √18 - √31 + √72

Let's break it down step by step:

√200 can be simplified as √(100 * 2), which is equal to 10√2. √8 can be simplified as √(4 * 2), which is equal to 2√2. √502 cannot be simplified further. √72 can be simplified as √(36 * 2), which is equal to 6√2. √50 can be simplified as √(25 * 2), which is equal to 5√2. √1623 cannot be simplified further. √18 can be simplified as √(9 * 2), which is equal to 3√2. √31 cannot be simplified further. √72 has already been simplified as 6√2.

Now let's substitute these simplified values back into the expression:

1 - 10√2 + 2√2 + √502 - 6√2 - 5√2 + √1623 - 3√2 - √31 + 6√2

Next, let's group the like terms:

(1 - 3√2 - 5√2 - √31 - 10√2 + 2√2 - 6√2 + 6√2) + √502 + √1623

Now, let's simplify the grouped terms:

(-17√2 - √31) + √502 + √1623

Finally, we cannot simplify √502 and √1623 any further, so the simplified expression is:

-17√2 - √31 + √502 + √1623