JoudM2009
JoudM2009 JoudM2009
  • 23-05-2021
  • Mathematics
contestada

simplify (√3+√2) ²
15 points
[tex] \sqrt{(3 + 2) ^{2} } [/tex]
​

Respuesta :

VirαtKσhli
VirαtKσhli VirαtKσhli
  • 23-05-2021

Step-by-step explanation:

Given :-

  • (√3+√2)²
  • √{(3+2)²}

And we need to simplify the given numbers . We can use a identity in 1st Question as ,

[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]

Simplifying first :-

[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]

Simplifying second :-

[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]

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