Mathematics: Sadie simplified the expression √54a^7b^3, where a =0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b

Sadie simplified the expression √54a^7b^3, where

BrezzyGirl9148

30.01.2022

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote a^7 as a^2 * a^5 instead of a^6 * a .

The square root of a^6 is a^3 and so she could have further simplified.

The correct simplification is shown below:

$\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}$

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annalisamorris0

20.12.2022

In direct variations, m(x)=k*x
Since m(50)=5, we find
50=k*5 => k=50/5=10.

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