Use the imaginary number to rewrite the expression below as a complex number. Simplify all radicals. sqrt -52 ______

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Use the imaginary number  to rewrite the expression below as a complex number. Simplify all radicals. sqrt -52 ______

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Breakdown of -52: First, let's break down -52 into -1 and 52 to separate the negative sign which is associated with the imaginary unit i. sqrt(-52) = sqrt(-1 * 52)Rewrite using i: Now, we know that sqrt(-1) is the imaginary unit i, so we can rewrite the expression using i. sqrt(-1 * 52) = sqrt(-1) * sqrt(52) = i * sqrt(52)Simplify sqrt(52): Next, we simplify sqrt(52). The number 52 can be factored into 4 * 13, where 4 is a perfect square. sqrt(52) = sqrt(4 * 13) = sqrt(4) * sqrt(13) = 2 * sqrt(13)Combine i with radical: Now, we can combine the i from the imaginary unit with the simplified radical. i * sqrt(52) = i * 2 * sqrt(13) = 2i * sqrt(13)Write as complex number: Finally, we write the expression as a complex number, which is in the form a + bi, where a is the real part and b is the imaginary part. Since there is no real part in this expression, it's just the imaginary part. 2i * sqrt(13) = 2i sqrt(13)

Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-52}$

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Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $\sqrt{-52}$