Math, asked by aleeza2108, 1 year ago

√(75) - √(27) solve correctly please


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Answered by Anonymous
12

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Answered by Anonymous
21

 \huge \underline \mathfrak {Solution:-}

Here we have to solve ,

 \sqrt{75}  -  \sqrt{27}

First of all expand these terms inside the square root by taking LCM.

 =  \sqrt{5 \times 5 \times 3}  -  \sqrt{3 \times 3 \times 3}

Now, take out the numbers which are two times on product inside the same square root.

So, take 5 and 3 out if square root.

= 5✓3 - 3✓3

Taking common ✓3

= ✓3 (5-3)

Subtract 3 from 5.

= 2✓3

Therefore,

 =  \sqrt{5 \times 5 \times 3}  -  \sqrt{3 \times 3 \times 3} = 2✓3


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