Respuesta :

Estellia

Answer:

Blank 1: -40

Blank 2: 21

Step-by-step explanation:

[tex]-5\sqrt{14}\cdot \:4\sqrt{6}[/tex]

Break 14 up:

[tex]-5\sqrt{2\cdot \:7}\cdot \:4\sqrt{6}[/tex]

[tex]-5\sqrt{2}\sqrt{7}\cdot \:4\sqrt{6}[/tex]

Break 6 up:

[tex]-5\sqrt{2}\sqrt{7}\cdot 4\sqrt{2\cdot \:3}[/tex]

[tex]-5\sqrt{2}\sqrt{7}\cdot 4 \sqrt{2}\sqrt{3}[/tex]

We know that [tex]\sqrt{2}\sqrt{2}=2[/tex]

Thus,

[tex]-5\cdot \:4\cdot \:2\sqrt{7}\sqrt{3}[/tex]

Multiply:

[tex]-40\sqrt{7\cdot 3}[/tex]

[tex]-40\sqrt{21}[/tex]

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Answer:

[tex]\Large \boxed{\sf [-40]\sqrt{[21]}}[/tex]

Step-by-step explanation:

Rearrange

[tex]\displaystyle -5 \times 4 \times \sqrt{6} \times \sqrt{14}[/tex]

Evaluate

[tex]\displaystyle -20 \times \sqrt{84}[/tex]

Simplify

[tex]\displaystyle -20 \times \sqrt{4 \times 21}[/tex]

[tex]\displaystyle -20 \times 2\sqrt{21}[/tex]

[tex]\displaystyle -40\sqrt{21}[/tex]

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