Answered

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Which of the following is equivalent to the radical expression below when x is greater than or equal to 7

Which Of The Following Is Equivalent To The Radical Expression Below When X Is Greater Than Or Equal To 7 class=

Sagot :

SOLUTION

The radical expression given is

[tex]\sqrt[]{x-7}.\sqrt[]{x+1}[/tex]

Applying the rule

[tex]\sqrt[]{a}\times\sqrt[]{b}=\sqrt[]{ab}[/tex]

We obtain

[tex]\sqrt[]{x-7}\times\sqrt[]{x+1}=\sqrt[]{(x-7)(x+1)}[/tex]

Expanding the parenthesis, we have

[tex]\begin{gathered} \sqrt[]{(x(x+1)-7(x+1)} \\ =\sqrt[]{x^2+x-7x-7} \\ =\sqrt[]{x^2-6x-7} \end{gathered}[/tex]

The radical expression is equivalent to

[tex]\sqrt[]{x^2-6x-7}[/tex]

The right option is A

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