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Find the reduced racial form of each expression:

1: 3/√6?
2:√7/√5+3?
3: √5(6+√2)?
4: 3^√6•3^√16?
HELP PLEASE ILL DO ANYTHING. (show explanation pls)

User SNeumann
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1 Answer

3 votes

Answer:

1. √6/2

2. (√35-3√7)/2

3. 6√5+√10

4. 3^√22

Explanation:

1. Simplify 6/( square root of 2). 6√2 6 2. Step 1. Multiply 6√2 6 2 by √2√2 2 2 . 6√2⋅√2√2 6 2 ⋅ 2 2. Step 2. Combine and simplify the denominator.

2. To simplify √7/√5+3, we need to rationalize the denominator by multiplying both the numerator and denominator by √5-3. This gives us (√7)(√5-3)/(√5+3)(√5-3), which simplifies to (√35-3√7)/2.

3. We can simplify √5(6+√2) by distributing the √5, which gives us 6√5+√10.

4. 3^√6•3^√16 can be simplified by using the rule that a^b • a^c = a^(b+c). This gives us 3^√22.

User Remon Huijts
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