Step-by-step explanation:
[tex] \frac{6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} } [/tex]
[tex]6 - 4 \sqrt{2} [/tex]
[tex] \frac{6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} } \times \frac{6 - 4 \sqrt{2}}{6 - 4 \sqrt{2}} [/tex]
The RHS means that we are multiplying the question by one.
Solutio,
[tex] \frac{6 - 4 \sqrt{2} \times 6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} \times 6 - 4 \sqrt{2} } [/tex]
[tex] \frac{ {(6 - 4 \sqrt{2} )}^{2}}{ ({6})^{2} - {(4 \sqrt{2} })^{2} } [/tex]
[tex] \frac{36 - 48 \sqrt{2} + 32 }{36 - 32} [/tex]
[tex] \frac{38 - 48 \sqrt{2} }{4} [/tex]
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Step-by-step explanation:
Here is your question which we have to rationalise
[tex] \frac{6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} } [/tex]
The rationalising factor of this is
[tex]6 - 4 \sqrt{2} [/tex]
Let's multiply the above number to the question.
[tex] \frac{6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} } \times \frac{6 - 4 \sqrt{2}}{6 - 4 \sqrt{2}} [/tex]
The RHS means that we are multiplying the question by one.
Solutio,
[tex] \frac{6 - 4 \sqrt{2} \times 6 - 4 \sqrt{2} }{6 + 4 \sqrt{2} \times 6 - 4 \sqrt{2} } [/tex]
[tex] \frac{ {(6 - 4 \sqrt{2} )}^{2}}{ ({6})^{2} - {(4 \sqrt{2} })^{2} } [/tex]
I have used (a-b)^2 identity in numerator and a^2 - b ^2 identity in denominator .
Simplifying this,
[tex] \frac{36 - 48 \sqrt{2} + 32 }{36 - 32} [/tex]
This is our final answer
[tex] \frac{38 - 48 \sqrt{2} }{4} [/tex]
please make this as brainleist answer.(◠‿◕)