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Popular >

simplify sqrt((x+7)(x-1)+16)

Solution

simplify

(x + 7) (x - 1) + 16

Solution

x + 3

Solution steps

(x + 7) (x - 1) + 16

Expand

(x + 7) (x - 1) + 16 : x^{2} + 6 x + 9

= x^{2} + 6 x + 9

Factor

x^{2} + 6 x + 9 : (x + 3)^{2}

= (x + 3)^{2}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

(x + 3)^{2} = x + 3

= x + 3

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Frequently Asked Questions (FAQ)

What is sqrt((x+7)(x-1)+16) ?
The solution to sqrt((x+7)(x-1)+16) is x+3