TOPICS

Formulae

Number Systems

1. √ab = √a √b 2. √a/b = √a/√b 3. (√a + √b) (√a - √b) = a - b 4. (a - √b) (a + √b) = a² - b 5. (√a + √b)² = a + 2 √a √b + b 6. a^{p}. a^{q}= a^{p+q}7. (a^{p})^{q}= a^{pq}8. a^{p}÷ a^{q}= a^{p-q}9. a^{p}. b^{p}= (ab)^{p}

1. To rationalise the denominator of 1/√a, we multiply this by √a/√a where a and b are integers. 2. To rationalise the denominator of 1/(√a+b), we multiply this by (√a-b)/(√a-b), where a and b are integers. 3. To rationalise the denominator of 1/(√a-b), we multiply this by (√a+b)/(√a+b), where a and b are integers. 4. To rationalise the denominator of (√a-√b)/(√a+√b), we multiply this by (√a-√b)/(√a-√b), where a and b are integers. 5. To rationalise the denominator of (√a+√b)/(√a-√b), we multiply this by (√a+√b)/(√a+√b), where a and b are integers.

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