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Sia ? 3 years ago
The expression is given to be : 2√3 + √3
We need to simplify this given expression and find the value of this expression.
The expression is : 2√3 + √3
Since, √3 is common factor in both the terms so taking √3 common we have,
⇒ √3 × (2 + 1)
Now using BODMAS rule we will simplify the bracket first
⇒ √3 × 3
⇒ 3√3
The approximate value of √3 correct to three places of decimal is 1.732
So, the value of the given expression is : 3 × 1.732 = 5.196
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Sia ? 3 years ago
x = {tex}2^{1 / 3}+2^{2 / 3}{/tex}
x3 = {tex}\left(2^{1 / 3}+2^{2 / 3}\right)^{3}{/tex}
{tex}\Rightarrow{/tex} x3 = {tex}\left(2^{1 / 3}\right)^{3}{/tex} + {tex}\left(2^{2 / 3}\right)^{3}{/tex} + 3 {tex}\times{/tex} {tex}2^{1 / 3}{/tex} {tex}\times{/tex} {tex}2^{2 / 3}{/tex}{tex}\left(2^{1 / 3}+2^{2 / 3}\right){/tex}
{tex}\Rightarrow{/tex} x3 = 2 + 22 + 3 {tex}\times{/tex} 2{tex}\left(2^{1 / 3}+2^{2 / 3}\right.){/tex}
{tex}\Rightarrow{/tex} x3 = 6 + 6{tex}\left(2^{1 / 3}+2^{2 / 3}\right.){/tex}
{tex}\Rightarrow{/tex} x3 = 6 + 6x
{tex}\Rightarrow{/tex} x3 - 6x = 6
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Sia ? 3 years ago
To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
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