Question

$$\sqrt{ { -2 }^{ 2 } } + \sqrt[ 4 ]{ { -3 }^{ 4 } }$$

Answer

5

Solution


Since the power of 2 is even, the result will be positive.
\[\sqrt{{2}^{2}}+\sqrt[4]{{(-3)}^{4}}\]
Simplify  \(\sqrt{{2}^{2}}\)  to  \(2\).
\[2+\sqrt[4]{{(-3)}^{4}}\]
Since the power of 4 is even, the result will be positive.
\[2+\sqrt[4]{{3}^{4}}\]
Use this rule: \(\sqrt[4]{{x}^{4}}=x\).
\[2+3\]
Simplify.
\[5\]