<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1000%7D%20%20%2B%20%20%5Csqrt%5B3%5D%7B8%7D%20" id="TexFormula1" title=" \

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guapka [62]

4 years ago

sqrt[3]{1000} + \sqrt[3]{8} " alt=" \sqrt[3]{1000} + \sqrt[3]{8} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Lerok [7]4 years ago

5 0

Answer:

Step-by-step explanation:

3√1000 = 10

because 10 • 10 • 10 = 1000

3√8 = 2

because 2 • 2 • 2 = 8

10+2 = 12

It's not plus or minus because it's a cube root rather than a square root.

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evablogger [386]

By using distance formula :

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$\bold{Taking \: \: \: x_{1}=3 \: \: , \: \: x_{2}= 3 \: \: , \: \: y_{1}= 5.25 \: \: , \: \: y_{2}= -8.75}$

On applying formula, we get

$Distance = \sqrt{ ( x_{2}-x_{1})^{2}+(y_{2}-y_{1})^2} \\ \\ \\ Distance = \sqrt{ ( 3 - 3 )^{2} + ( - 8.75 - 5.25 )^{2}} \\ \\ \\ Distance = \sqrt{ ( 0 )^{2} + ( - 14)^{2}} \\ \\ \\ Distance = \sqrt{ ( - 14 )^{2}} \\ \\ \\ Distance = \sqrt{ 14^{2}} \:\:\:\:\:\:\:\:\:\:\: \: \: \: \: \: \: \: \: | \bold{ ( - 14 )^{2} = 14^{2}} \\ \\ \\ Distance = {14}^{2 \times \frac{1}{2} } \\ \\ \\ Distance = {14}^{1} \\ \\ \\ Distance = 14 \: units$

Hence, Option D is correct.

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