What is sqrt(x-1)*sqrt(4-x) ?

The solution to sqrt(x-1)*sqrt(4-x) is sqrt((x-1)(-x+4))

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simplify sqrt(x-1)*sqrt(4-x)

simplify

x - 1 \cdot 4 - x

(x - 1) (- x + 4)

Solution steps

x - 1 4 - x

Apply radical rule:

a b = a \cdot b,

assuming

a \geq 0, b \geq 0

x - 1 - x + 4 = (x - 1) (- x + 4)

= (x - 1) (- x + 4)

d g h \cdot (- 4) a h^{2}

(3.2) (3. 2^{2})^{4}

- 2 x^{3} (5 x^{2})

What is sqrt(x-1)*sqrt(4-x) ?
The solution to sqrt(x-1)*sqrt(4-x) is sqrt((x-1)(-x+4))