$$ \begin{array}{ll} ext { 1. } & -3 \sqrt{2}+\sqrt{2} \ ext { 2. } & 4 \sqrt{2}-5 \sqrt{3}+\sqrt{2}+2 \sqrt{3} \ ext { 3. } & \sqrt{6}+\sqrt{3}\end{array} $$

Question

$$ \begin{array}{ll}	ext { 1. } & -3 \sqrt{2}+\sqrt{2} \ 	ext { 2. } & 4 \sqrt{2}-5 \sqrt{3}+\sqrt{2}+2 \sqrt{3} \ 	ext { 3. } & \sqrt{6}+\sqrt{3}\end{array} $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{6}+\sqrt{3}$$
Calculate or simplify the expression $$ -3*\sqrt(2)+\sqrt(2) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$-3\sqrt{2}+\sqrt{2}$$
- step1: Collect like terms:
  $$\left(-3+1\right)\sqrt{2}$$
- step2: Add the numbers:
  $$-2\sqrt{2}$$
Calculate or simplify the expression $$ 4*\sqrt(2)-5*\sqrt(3)+\sqrt(2)+2*\sqrt(3) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$4\sqrt{2}-5\sqrt{3}+\sqrt{2}+2\sqrt{3}$$
- step1: Add the numbers:
  $$5\sqrt{2}-3\sqrt{3}$$
Here are the simplified results for each expression:

1. For the expression $$ -3 \sqrt{2} + \sqrt{2} $$:
   $$
   -3 \sqrt{2} + \sqrt{2} = -2 \sqrt{2}
   $$

2. For the expression $$ 4 \sqrt{2} - 5 \sqrt{3} + \sqrt{2} + 2 \sqrt{3} $$:
   $$
   4 \sqrt{2} - 5 \sqrt{3} + \sqrt{2} + 2 \sqrt{3} = 5 \sqrt{2} - 3 \sqrt{3}
   $$

3. For the expression $$ \sqrt{6} + \sqrt{3} $$:
   $$
   \sqrt{6} + \sqrt{3} \text{ (already in simplest form)}
   $$

Thus, the final simplified results are:
1. $$ -2 \sqrt{2} $$
2. $$ 5 \sqrt{2} - 3 \sqrt{3} $$
3. $$ \sqrt{6} + \sqrt{3} $$
1. $$ -2 \sqrt{2} $$ 2. $$ 5 \sqrt{2} - 3 \sqrt{3} $$ 3. $$ \sqrt{6} + \sqrt{3} $$

\( \begin{array}{ll}\text { 1. } & -3 \sqrt{2}+\sqrt{2} \\ \text { 2. } & 4 \sqrt{2}-5 \sqrt{3}+\sqrt{2}+2 \sqrt{3} \\ \text { 3. } & \sqrt{6}+\sqrt{3}\end{array} \)

Solución de tutoría real

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions