What is sqrt(l(l+1)-m(m+1))sqrt(l(l+1)-m(m-1)) ?

The solution to sqrt(l(l+1)-m(m+1))sqrt(l(l+1)-m(m-1)) is sqrt((-m(m+1)+l(l+1))(-m(m-1)+l(l+1)))

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simplify sqrt(l(l+1)-m(m+1))sqrt(l(l+1)-m(m-1))

simplify

l (l + 1) - m (m + 1) l (l + 1) - m (m - 1)

(- m (m + 1) + l (l + 1)) (- m (m - 1) + l (l + 1))

Solution steps

l (l + 1) - m (m + 1) l (l + 1) - m (m - 1)

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

- m (m + 1) + l (l + 1) - m (m - 1) + l (l + 1) = (- m (m + 1) + l (l + 1)) (- m (m - 1) + l (l + 1))

= (- m (m + 1) + l (l + 1)) (- m (m - 1) + l (l + 1))

(3.25 \times 1 0^{7}) (8.16 \times 1 0^{9})

5 t e^{- 2 t}

e^{- 0.03 t}

(L^{0.5} + K^{0.5}) L^{- 0.5}

What is sqrt(l(l+1)-m(m+1))sqrt(l(l+1)-m(m-1)) ?
The solution to sqrt(l(l+1)-m(m+1))sqrt(l(l+1)-m(m-1)) is sqrt((-m(m+1)+l(l+1))(-m(m-1)+l(l+1)))