Question

Subtract : √2 - 3√3 from 3√2 +5√3

Answer 1

Answer:

Duration is defined as the length of time that something lasts. When a film lasts for two hours, this is an example of a time when the film has a two hour duration.

Answer 2

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Explanation:

Point to be noted :

• Whenever Question said substract this value say 'x' from this value say'z' then write first z and then substract x e.g=>z-x

concept:

• Roots values having same base can be added and subtracted.
• In multiplication same roots values if Multiply with each other gives single value of that number.E.g=> √2×√2=2(single value )
• $\sqrt{2} \times \sqrt{2} = {2}^{ \frac{1}{2} + \frac{1}{2} } = 2$
• In division power gets substracted if two same base root values are divided :
• $\frac{ 2\sqrt{5} }{ \sqrt{5} } = 2 \times {5}^{ \frac{1}{2} - \frac{1}{2} } =2\times {5}^{0} = 2$ or simply you cancel the root.

$= > 3 \sqrt{2} + 5 \sqrt{3} - ( \sqrt{2} - 3 \sqrt{3} )$

$= > 3 \sqrt{2} + 5 \sqrt{3} - \sqrt{2} + 3 \sqrt{3}$

$= > 3 \sqrt{2} - \sqrt{2} + 5 \sqrt{3} + 3 \sqrt{3}$

$\bold{2\sqrt{2} + 8 \sqrt{3}(answer)}$