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Anastasy [175]
3 years ago
8

What is sqrt 6/5 in it's simplest radical form?

Mathematics
1 answer:
Tanya [424]3 years ago
8 0
\sqrt{\cfrac{6}{5}}\impliedby \textit{simplified, right?}

for... is more or less simplified, so.. .it can't be simplified any further
if anything at all, it can simply be "rationalized"
namely

\sqrt{\cfrac{6}{5}}\implies \cfrac{\sqrt{6}}{\sqrt{5}}\impliedby \textit{now rationalizing it}
\\ \quad \\
\cfrac{\sqrt{6}}{\sqrt{5}}\cdot \cfrac{\sqrt{5}}{\sqrt{5}}\implies \cfrac{\sqrt{6}\sqrt{5}}{\sqrt{5^2}}\implies \cfrac{\sqrt{30}}{5}
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Step-by-step explanation:

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To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

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  t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

  t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

  t ≈ 31.939 seconds

Then the horizontal travel is

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  landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

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Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

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