Simplify A Radical | Sixth Roots

🤩 Hello everyone, I'm very excited to bring you a new channel (SyberMath Shorts).
Enjoy...and thank you for your support!!! 🧡🥰🎉🥳🧡
/ @sybermath
/ @aplusbi
⭐ Join this channel to get access to perks:→ bit.ly/3cBgfR1
My merch → teespring.com/...
Follow me → / sybermath
Subscribe → www.youtube.co...
⭐ Suggest → forms.gle/A5bG...
If you need to post a picture of your solution or idea:
in...
#algebra #radicals #radicalequations
via @KZbin @Apple @Desmos @NotabilityApp @googledocs @canva
PLAYLISTS 🎵 :
▶ Trigonometry: • Trigonometry
▶ Algebra: • Algebra
▶ Complex Numbers: • Complex Numbers
▶ Calculus: • Calculus
▶ Geometry: • Geometry
▶ Sequences And Series: • Sequences And Series

[@yoav613]

Nice

[@FisicTrapella]

TKALSS 😁

[@phill3986]

😊😊😊👍👍👍

[@williamperez-hernandez3968]

Proving that the correct answer is the golden ratio, phi, can be done quickly. Fact: phi^n = (Ln + Fn sqrt(5))/2, Ln and Fn are Lucas and Fibonacci numbers. Since L6 = 18, F6 = 8, phi^6 = 9 + 4sqrt(5), and we are done.

[@blue_sand6854]

At 2:43: why?

[@walterwen2975]

Simplify A Radical: ⁶√(9 + 4√5) = ? ⁶√(9 + 4√5) = ⁶√[2² + 2(2)(√5) + (√5)²] = ⁶√[(2 + √5)²] = ³√(2 + √5) 8(2 + √5) = 16 + 8√5 = 1 + 3√5 + 15 + 5√5 = 1 + 3√5 + 3(5) + [(√5)²]√5 = 1 + 3√5 + 3(√5)² + (√5)³ = (1 + √5)³, 2 + √5 = (1 + √5)³/8 = [(1 + √5)/2]³ ⁶√(9 + 4√5) = ³√(2 + √5) = ³√{[(1 + √5)/2]³} = (1 + √5)/2 Answer check: ⁶√(9 + 4√5) = ⁶√(17.944) = 1.618, (1 + √5)/2 = 1.618; Confirmed The calculation was achieved on a smartphone with a standard calculator app Final answer: Simplified form; ⁶√(9 + 4√5) = (1 + √5)/2