As given (3^2+4^2)^1/2 ⇒ ( 9+16 )^1/2 ⇒ ( 25 )^1/2 ⇒ ( 5^2 )^1/2 ⇒ ( 5^2·1/2 ) ⇒ 5 ...

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Algebra of Complex Numbers

Evaluate 32...

Question

Evaluate ${(3^{2} + 4^{2})}^{1 / 2}$

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Solution

As given ${(3^{2} + 4^{2})}^{1 / 2}$
$\Rightarrow {(9 + 16)}^{\frac{1}{2}}$
$\Rightarrow {(25)}^{\frac{1}{2}}$
$\Rightarrow {(5^{2})}^{\frac{1}{2}}$
$\Rightarrow (5^{2 \cdot \frac{1}{2}})$
$\Rightarrow 5$

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