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Describe the error Sadie made, and explain how to find the correct answer. (Refer to image)

Step 1: Explain the error made

Step 2: Explain how to find the correct answer.

Describe the error Sadie made and explain how to find the correct answer Refer to imageStep 1 Explain the error madeStep 2 Explain how to find the correct answe class=

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Iknowit
Sadie said that 54=3^3*6, which is false bacause 54=3^2*6. that's why she was wrong
radical 54a^7b^3=radical 3^2*6*a^6*a*b^2*b=3a^3b radical 6ab
frika

1. Sadie should note that [tex] 54a^7b^3\ge 0 [/tex] and if [tex] a\ge 0 [/tex], then [tex] b\ge 0 [/tex].

2. While simplifying Sadie makes some mistakes (it must be [tex]3^2 [/tex] instead of [tex] 3^3 [/tex] and she missed the sign of absolute value for b). The right way to find the correct answer is:

[tex] \sqrt{54a^7b^3}=\sqrt{3^2\cdot 6\cdot a^2\cdot a^5\cdot b^2\cdot b} =3\cdot a\cdot |b| \sqrt{6\cdot a^5\cdot b}=3ab\sqrt{6a^5b} [/tex].

3. The simpliest expression is [tex] 3ab\sqrt{6a^5b} =3ab\sqrt{6\cdot a^2\cdot a^2\cdot a\cdot b} =3a^3b\sqrt{6ab} [/tex].

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