If 5 - √35 + √3 = a - b √3, find a (in lowest terms numerator form, a = p/q means give the numeric value a as a decimal if needed). Here express a as a fraction value; report 14/11 as 1.2727... rounded to 2 decimals.

Question

Accepted Answer

1.27. Multiply by (5 - √3): numerator (5 - √3)^2 = 25 - 10√3 + 3 = 28 - 10√3; denom 25 - 3 = 22. = 28 - 10√322 = 14/11 - (5/11)√3. So a = 14/11 = 1.2727... = 1.27 (2 dp).

If $\frac{5 - 3}{5 + 3} = a - b 3$ , find a (in lowest terms numerator form, $a = p / q$ means give the numeric value a as a decimal if needed). Here express a as a fraction value; report $\frac{14}{11}$ as 1.2727... rounded to 2 decimals.

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More Class 9 Rationalising the Denominator practice

If 5+3​5−3​​=a−b3​, find a (in lowest terms numerator form, a=p/q means give the numeric value a as a decimal if needed). Here express a as a fraction value; report 1114​ as 1.2727... rounded to 2 decimals.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Rationalising the Denominator practice

If $\frac{5 - 3}{5 + 3} = a - b 3$ , find a (in lowest terms numerator form, $a = p / q$ means give the numeric value a as a decimal if needed). Here express a as a fraction value; report $\frac{14}{11}$ as 1.2727... rounded to 2 decimals.