1. E: √2 + √3: Approximate using a calculator.
2. I: √4 + √6 = 2 + √6: Simplify √4 to 2. Approximate using a calculator.
3. L: √2 + √2 = 2√2: Simplify. Approximate using a calculator.
4. S: √2 + (2 + √3): Simplify. Approximate using a calculator.
5. A: 5√63 + 6√7 = 15√7 + 6√7 = 21√7: Simplify. Approximate using a calculator.
6. E: (6√28) / (3√4) = (6 * 2√7) / 6 = 2√7: Simplify. Approximate using a calculator.
7. R: 1 / (2 + √5): Rationalize the denominator (multiply numerator and denominator by the conjugate 2 - √5). Simplify. Approximate using a calculator.
8. A: 3 / (√3 - 1): Rationalize the denominator (multiply numerator and denominator by the conjugate √3 + 1). Simplify. Approximate using a calculator.
Right Column (Column 2):
1. P: √8 + √6 = 2√2 + √6: Simplify. Approximate using a calculator.
2. E: 7/(√6 + √5): Rationalize the denominator (multiply numerator and denominator by the conjugate √6 - √5). Simplify. Approximate using a calculator.
3. C: √5 + √15: Approximate using a calculator.
4. V: 1/√x: Cannot be solved without knowing the value of x.
5. E: √108 - √2 = 6√3 - √2: Simplify. Approximate using a calculator.
6. R: √400 / √20 = √20 = 2√5: Simplify. Approximate using a calculator.
7. A: (20√46) / (5√23): Simplify. Approximate using a calculator.
8. T: (5√96) / 6 - (2√24) / 5: Simplify each term separately. Approximate using a calculator.
9. S: √3 + √5: Approximate using a calculator.
Mathbot Says...
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.