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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Simplify. 4 sqrt 12 - sqrt 75 - 7 sqrt 48

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प्रश्न

Simplify. 

`4 sqrt 12 - sqrt 75 - 7 sqrt 48`

बेरीज
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उत्तर

`4 sqrt 12 - sqrt 75 - 7 sqrt 48`

`= 4sqrt (4 xx 3) - sqrt (25 xx 3) - 7 sqrt(16 xx 3)`

`=4xx2sqrt3-5sqrt3-7xx4sqrt3`

`= 8sqrt3 - 5 sqrt 3 - 28 sqrt 3`

`=(8-5-28)sqrt3`

`=-25sqrt 3`

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Operations on Surds
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पाठ 2: Real Numbers - Problem Set 2 [पृष्ठ ३५]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 2 Real Numbers
Problem Set 2 | Q (7) (iv) | पृष्ठ ३५

संबंधित प्रश्‍न

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`9 sqrt 5 - 4 sqrt 5 + sqrt 125`


Simplify.

`7 sqrt 48 - sqrt 27 - sqrt 3`


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`3sqrt8 xx sqrt5`


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`sqrt 310 ÷ sqrt 5`


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`4root(3)(5) + 2root(3)(5) - 3root(3)(5)`


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`root(3)(27) xx root(3)(8) xx root(3)(125)`


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`(7sqrt("a") - 5sqrt("b")) (7sqrt("a") + 5sqrt("b"))`


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`sqrt(40) - sqrt(20)`


If `sqrt(2)` = 1.414, `sqrt(3)` = 1.732, `sqrt(5)` = 2.236, `sqrt(10)` = 3.162, then find the values of the following correct to 3 places of decimals.

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Which of the following statement is false?


When `(2sqrt(5) - sqrt(2))^2` is simplified, we get


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