Question

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(7√7+4√3) & (4√7-3√3)

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Answer 1

Answer:

If x = √ (7+4√3) /√ (7-4√3) , then what does x² (x-14) ² =? this your correct question

Step-by-step explanation:

Let’s apply this to the question :

x=7+43√√7−43√√

The conjugate of the denominator 7−43–√−−−−−−−√ is 7+43–√−−−−−−−√

Multiply the entire expression by the conjugate to get:

7+43√√7−43√√⋅7+43√√7+43√√

=(7+43√)2√(72−(43√)2)√

=7+43√49−16(3)√

x=7+43√1√

x=7+43–√

also notice that x−14=7+43–√−14=43–√−7

x2(x−14)2=(x(x−14))2

=((43–√+7)(43–√−7))2

Use the difference of squares identity again with a=43–√ and b=7 to get

((43–√+7)(43–√−7))2=(48−49)2

=(−1)2=1

∴x2(x−14)2=1

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