Question

prove that (√x+1)(4√x+1)(8√x+1)=x-1
pl answer it fast​

Answer 1

Answer:

x=1 I hope this while help you

Answer 2

Answer:

The question here is little incorrect and incomplete, here is the complete question.

Prove that (\sqrt{x} +1).(\sqrt[4]{x} +1).(\sqrt[8]{x}+1).(\sqrt[8]{x}-1)=x-1, (x∈R⁺)

Proof with Step-by-step explanation:

The given expression is (\sqrt{x} +1).(\sqrt[4]{x} +1).(\sqrt[8]{x}+1).(\sqrt[8]{x}-1)-------(1)

Using the formula (x-a)(x+a)=x^{2} -a^{2}

equation 1 can be simplified to (\sqrt{x} +1).(\sqrt[4]{x} +1).(\sqrt[4]{x} -1) by multiplying 8th root terms

• This can be further simplified to (\sqrt{x} +1).(\sqrt{x} -1) by multiplying 4th root terms.

• which is equal to x-1 by applying same formula again

therefore, L.H.S. expression obtained is x-1, to R.H.S.

I hope this will helpful for u

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