What is the sum of StartRoot negative 2 EndRoot and StartRoot negative 18 EndRoot? 4 StartRoot 2 EndRoot 4 StartRoot 2 EndRoot i

Question

3 years ago

6

5 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot i

2 answers:

Nataly_w [17] · Answer 1 · 2022-05-25T10:45:26+03:00

7 0

Answer:

4 StartRoot 2 EndRoot i

Step-by-step explanation:

which means the answer is b

Sveta_85 [38] · Answer 2 · 2022-05-25T08:37:53+03:00

Adding $\sqrt{-2}\,\,and\,\,\sqrt{-18}$ we get $4\sqrt{2i}$

Option C 4 StartRoot 2 EndRoot i is correct.

Step-by-step explanation:

We need to find the sum of: $\sqrt{-2}\,\,and\,\,\sqrt{-18}$

Finding sum:

$\sqrt{-2}+\sqrt{-18}$

$\sqrt{-2}$ can be written as $\sqrt{2}i$

$\sqrt{-18}$ can be written as $\sqrt{18}i$

We know 18 = 2x3x3 = 2x3^2 so,

$\sqrt{2i}+\sqrt{2\times 3^2}i$

$\sqrt{2i}+3\sqrt{2}i$

Adding like terms:

$4\sqrt{2i}$

So, adding $\sqrt{-2}\,\,and\,\,\sqrt{-18}$ we get $4\sqrt{2i}$

Option C 4 StartRoot 2 EndRoot i is correct.

Keywords: Square root expressions

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