Question

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

Answer 1

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:

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

$\sqrt{-25} = 5i$

Hence, the equivalent is (D)