Mathematics: WILL MARK YOU BRAINLIEST

Blank 1: -40Blank 2: 21Step-by-step explanation:Break 14 up:Break 6 up:We know that Thus,Multiply:...

WILL MARK YOU BRAINLIEST - id9180056, sabrinarasull1pe6s61

coopyishome

24.05.2021

Blank 1: -40

Blank 2: 21

Step-by-step explanation:

$-5\sqrt{14}\cdot \:4\sqrt{6}$

Break 14 up:

$-5\sqrt{2\cdot \:7}\cdot \:4\sqrt{6}$

$-5\sqrt{2}\sqrt{7}\cdot \:4\sqrt{6}$

Break 6 up:

$-5\sqrt{2}\sqrt{7}\cdot 4\sqrt{2\cdot \:3}$

$-5\sqrt{2}\sqrt{7}\cdot 4 \sqrt{2}\sqrt{3}$

We know that $\sqrt{2}\sqrt{2}=2$

Thus,

$-5\cdot \:4\cdot \:2\sqrt{7}\sqrt{3}$

Multiply:

$-40\sqrt{7\cdot 3}$

$-40\sqrt{21}$

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