Jasonn7602 Jasonn7602
  • 26-01-2018
  • Mathematics
contestada

What is the simplest form of the expression? 3sqrt(750)+3sqrt(2058)-3sqrt(48)?

Respuesta :

probu651
probu651 probu651
  • 01-02-2018
After solving it, I got 10^3sqrt6 Hope this helps
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Riia
Riia Riia
  • 18-08-2018

The given expression is

[tex] 3 \sqrt{750}+ 3 \sqrt{2058}-3 \sqrt{48} [/tex]

We have to check out the factors of 750, 2058 and 48

[tex] 3 \sqrt{5^2 *30 } +3 \sqrt{7^2 *42} -3 \sqrt{4^2 *3} [/tex]

And square root of a perfect square number is the number itself.

That is

Square root of 25 is 5, square root of 49 is 7 and square root of 16 is 4.

So we will get

[tex] 3*5 \sqrt{30} +3*7 \sqrt{42} - 3*4 \sqrt{3}
\\
= 15 \sqrt{30} + 21 \sqrt{42} -12 \sqrt{3} [/tex]

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