Question

${ a + b}{a - b} = a ^2 - b ^2$
rationalize √3/6+√5

​

Answer 1

Answer:

After rationalizing the denominator of

6

−

5

1

and simplifying we get

a

+

5

then value of a is ___ .

Medium

Answer 2

Answer:

• ${ a + b}{a - b} = a ^2 - b ^2$
• rationalize √3/6+√5

Step-by-step explanation:

• Hey, here's your solution,
• \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} }
• 6+4
• 3
• 6−4
• 3
• = \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} } \times \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} }=
• 6+4
• 3
• 6−4
• 3
• ×
• 6−4
• 3
• 6−4
• 3
• = \frac{ {(6 - 4 \sqrt{3} )}^{2} }{ {(6)}^{2} - {(4 \sqrt{3} )}^{2} }=
• (6)
• 2
• −(4
• 3
• )
• 2
• (6−4
• 3
• )
• 2
• = \frac{ {6}^{2} + {4 \sqrt{3} }^{2} - 2(6)(4 \sqrt{3)} }{36 - 48}=
• 36−48
• 6
• 2
• +4
• 3
• 2
• −2(6)(4
• 3)
• = \frac{36 + 48 - 12(4 \sqrt{3} )}{ - 12}=
• −12
• 36+48−12(4
• 3
• )
• = \frac{84 - 48 \sqrt{3} }{ - 12}=
• −12
• 84−48
• 3
• = \frac{12(7 - 4 \sqrt{3}) }{ - 12}=
• −12
• 12(7−4
• 3
• )
• = \frac{7 - 4 \sqrt{3} }{ - 1}=
• −1
• 7−4
• 3
• = \frac{ - ( - 7 + 4 \sqrt{3}) }{ - 1}=
• −1
• −(−7+4
• 3
• )
• Cancelling minus sign,
• = - 7 + 4 \sqrt{3}=−7+4
• 3
• = 4 \sqrt{3} - 7=4 3

−7

\red{Hence, \: amswer\: is \: 4\sqrt{3} -7}Hence,amsweris4

3

−7

please make it a brainliest answer.