Positive sqare root of 3+√5

1.	Positive sqare root of 3+√5
Answer» ong>Step-by-step explanation: I assume that you want the square roots, not CUBE roots, fourth roots …. So, we want to FIND y given that: y2=3+5–√=2+1+5–√=2+21+5√2 Now, 1+5√2 is a well-known mathematical value; it is called the GOLDEN ratio and designated using ϕ , so: y2=2+2ϕ=2(1+ϕ) One of ϕ′s properties is that 1+ϕ=ϕ2 , so: y2=2ϕ2⇒y=±2–√ϕ =±2√+10√2 ≈±2.288245611

Answer»

ong>Step-by-step explanation:

I assume that you want the square roots, not CUBE roots, fourth roots ….

So, we want to FIND y given that:

y2=3+5–√=2+1+5–√=2+21+5√2

Now, 1+5√2 is a well-known mathematical value; it is called the GOLDEN ratio and designated using ϕ , so:

y2=2+2ϕ=2(1+ϕ)

One of ϕ′s properties is that 1+ϕ=ϕ2 , so:

y2=2ϕ2⇒y=±2–√ϕ

=±2√+10√2

≈±2.288245611

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Positive sqare root of 3+√5

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