(C) Let $z = 6+8i$. We want to find the modulus of $\sqrt{z}$.Using the property of the modulus of complex numbers,$|\sqrt{z}| = \sqrt{|z|}$.First,cal

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(C) Let $z = 6+8i$. We want to find the modulus of $\sqrt{z}$.Using the property of the modulus of complex numbers,$|\sqrt{z}| = \sqrt{|z|}$.First,calculate the modulus of $z = 6+8i$:$|z| = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$.Therefore,the modulus of the square root is $\sqrt{|z|} = \sqrt{10}$.

Class 11 Mathematics 1 Complex Numbers and Quadratic Equations: Complex Numbers Conjugate and Modulus of complex numbers

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The modulus of the square root of the complex number $6+8i$ (where $i=\sqrt{-1}$) is

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A
$\sqrt{5}$
B
$2\sqrt{5}$
C
$\sqrt{10}$
D
$5$

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1 Complex Numbers and Quadratic Equations: Complex Numbers

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Conjugate and Modulus of complex numbers

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