Question

5) (√m+√2) 6)(√3−√6) 7) (6−√2)

Answer 1

Ответ:

$(\sqrt{m} + \sqrt{2})^{2} ==> m + 2\sqrt{2m} + 2;\\ (\sqrt{3} - \sqrt{6})^{2} ==> 3 - 2\sqrt{18} + 6 = 9 - 2\sqrt{9*2} = 9 - 6\sqrt{2}\\(6 - \sqrt{2})^{2} = 36 - 12\sqrt{2} + 2 = 38 - 12\sqrt{2}$

Объяснение:

Answer 2

To simplify the given expressions, let's evaluate each of them step by step:

5. (√m + √2) Since there are no specific values given for 'm', we cannot simplify this expression any further. Therefore, the simplified form is (√m + √2).

6. (√3 − √6) To simplify this expression, we can rationalize the denominator by multiplying the expression by its conjugate: (√3 − √6) * (√3 + √6) / (√3 + √6) Applying the difference of squares formula, we get: (3 − 6) / (√3 + √6) -3 / (√3 + √6) The simplified form of the expression is -3 / (√3 + √6).

7. (6 − √2) This expression is already in its simplest form. There are no like terms to combine or radicals to simplify further. Therefore, the simplified form is (6 − √2).