Use the Binomial Theorem to Expand the Binomial $( \sqrt { x } + \sqrt { 5 } ) ^ { 4 }$

question 49

Multiple Choice

Use the Binomial Theorem to expand the binomial.
- $( \sqrt { x } + \sqrt { 5 } ) ^ { 4 }$

• A) \(x ^ { 2 } + 2 \sqrt { 5 } x ^ { 3 / 2 } + 15 x + 10 \sqrt { 5 } x ^ { 1 / 2 } + 25\)
• B) \(x ^ { 2 } + 25\)
• C) \(x ^ { 2 } + 4 \sqrt { 5 } x ^ { 3 / 2 } + 30 x + 20 \sqrt { 5 } x ^ { 1 / 2 } + 25\)
• D) \(x ^ { 2 } + 4 \sqrt { 5 } x ^ { 1 / 2 } + 30 x + 20 \sqrt { 5 } x ^ { 1 / 2 } + 625\)

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