Write in the form a+bsqrt3 : a) 2(3-sqrt3)-3(1-sqrt3)

Simplify and Distribute: Simplify the expression inside the parentheses and distribute the constants. Calculation: 2(3 - sqrt3) - 3(1 - sqrt3) = 6 - 2sqrt3 - 3 + 3sqrt3 = (6 - 3) + (-2sqrt3 + 3sqrt3) = 3 + sqrt3

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Write in the form
a+bsqrt3 :
a)
2(3-sqrt3)-3(1-sqrt3)

Write in the form $a+b \sqrt{3}$ : $\newline$ $2(3-\sqrt{3})-3(1-\sqrt{3})$

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Math Problems

Algebra 1

Simplify radical expressions using the distributive property

Full solution

Q. Write in the form

a+b \sqrt{3}

\newline

2(3-\sqrt{3})-3(1-\sqrt{3})

Distribute numbers in parentheses: Distribute the numbers inside the parentheses. $\newline$ $2(3 - \sqrt{3}) - 3(1 - \sqrt{3}) = 6 - 2\sqrt{3} - 3 + 3\sqrt{3}$
Combine like terms: Combine like terms. $\newline$ $(6 - 3) + (-2\sqrt{3} + 3\sqrt{3}) = 3 + \sqrt{3}$