Find sum of the following surds- x-y- 2x-y- 4x-y-

The sum of the given surds can be determined as follows: x√( y ) +2x√( y ) +4x√( y ) =√( y ) (x+2x+4x)=7x√( y ) #160; #160; #160;Hence, #160; ...

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Standard IX

Mathematics

Addition and Subtraction of Surds

Find sum of t...

Question

Find sum of the following surds:
$x \sqrt{y}, 2 x \sqrt{y}, 4 x \sqrt{y}$ .

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Solution

The sum of the given surds can be determined as follows:
$x \sqrt{y} + 2 x \sqrt{y} + 4 x \sqrt{y} = \sqrt{y} (x + 2 x + 4 x) = 7 x \sqrt{y}$

Hence, $x \sqrt{y} + 2 x \sqrt{y} + 4 x \sqrt{y} = 7 x \sqrt{y}$ .

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Find sum of the following surds:x√y,2x√y,4x√y.

The sum of the given surds can be determined as follows:x√y+2x√y+4x√y=√y(x+2x+4x)=7x√y Hence, x√y+2x√y+4x√y=7x√y.

Find sum of the following surds:
$x \sqrt{y}, 2 x \sqrt{y}, 4 x \sqrt{y}$ .

The sum of the given surds can be determined as follows:
$x \sqrt{y} + 2 x \sqrt{y} + 4 x \sqrt{y} = \sqrt{y} (x + 2 x + 4 x) = 7 x \sqrt{y}$

Hence, $x \sqrt{y} + 2 x \sqrt{y} + 4 x \sqrt{y} = 7 x \sqrt{y}$ .