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3 years ago

Which value is equivalent to V-25?A. -5iB. -5C. 5OD. 5i

Mathematics

1 answer:

AlexFokin [52]3 years ago

6 0

Answer:

$\sqrt{-25} = 5i$

Step-by-step explanation:

Given

$\sqrt{-25$

Required

An equivalent

We have:

$\sqrt{-25$

Express -25 as -1 * 25

$\sqrt{-25} = \sqrt{-1 * 25}$

Split

$\sqrt{-25} = \sqrt{-1} * \sqrt{25}$

$\sqrt{25} = 5$ , so:

$\sqrt{-25} = \sqrt{-1} * 5$

$\sqrt{-1} = i$ --- complex numbers

So:

$\sqrt{-25} = i * 5$

$\sqrt{-25} = 5i$

<em>Hence, the equivalent is (D)</em>

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Which value is equivalent to V-25?A. -5iB. -5C. 5OD. 5i​

Which value is equivalent to V-25?A. -5iB. -5C. 5OD. 5i