Mathematics: please give an answer Rationalise the denominator and find the values of a and b. 7−4√3/7+4√3 = a + b √3

35% of 200 = 0.35 * 200 = 70200 + 70 = 270.hope this ☺☺...

please give an answer Rationalise the denominator

cindyroxana229

31.01.2022

a = 97, b = - 56

Step-by-step explanation:

Given

$\frac{7-4\sqrt{3} }{7+4\sqrt{3} }$

To rationalise multiply numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4 $\sqrt{3}$ is 7 - 4 $\sqrt{3}$

= $\frac{(7-4\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3}) }$ ← expand numerator/ denominator using FOIL

= $\frac{49-28\sqrt{3}-28\sqrt{3}-48 }{49-48}$

= $\frac{97-56\sqrt{3} }{1}$

= 97 - 56 $\sqrt{3}$

with a = 97 and b = - 56

0,0(0 оценок)