Answered

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Simplify the expression:

[tex]\(4 \sqrt{13} - 6 \sqrt{13} + 10 \sqrt{13}\)[/tex]

A. [tex]\(8 \sqrt{13}\)[/tex]
B. [tex]\(12 \sqrt{13}\)[/tex]
C. cannot be simplified

Sagot :

GinnyAnswer
Let's solve the expression step-by-step:

1. Start with the given expression:
[tex]\[ 4 \sqrt{13} - 6 \sqrt{13} + 10 \sqrt{13} \][/tex]

2. Notice that all terms involve [tex]\(\sqrt{13}\)[/tex]. We can combine these like terms by factoring out [tex]\(\sqrt{13}\)[/tex].

3. Combine the coefficients of [tex]\(\sqrt{13}\)[/tex]:
[tex]\[ 4 - 6 + 10 = 8 \][/tex]

4. Now we can write the expression as:
[tex]\[ 8 \sqrt{13} \][/tex]

This is the simplified form of the expression.

When calculated, the numerical value of:
[tex]\[ 8 \sqrt{13} \approx 28.844410203711917 \][/tex]

Thus, the simplified expression [tex]\(8 \sqrt{13}\)[/tex] numerically equals approximately 28.844410203711917.
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