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sattari [20]
3 years ago
7

Log5 (x) <-2 I need help fast

Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer: x < -2.861353

Step-by-step explanation:

simplify to: 0.69897x <-2

divide both sides by 0.69897

0.69897/0.69897 < -2/0.69897

so the answer is x < -2.861353

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Rationalise the denominator of: (√3 - √2)/(√3+√2) = ?​
marissa [1.9K]

Step-by-step explanation:

<h2><u>Given :-</u></h2>

(√3-√2)/(√3+√2)

<h2><u>To find :-</u></h2>

Rationalised form = ?

<h2><u>Solution:-</u></h2>

Given that

(√3-√2)/(√3+√2)

The denominator = √3+√2

The Rationalising factor of √3+√2 is √3-√2

On Rationalising the denominator then

=> [(√3-√2)/(√3+√2)]×[(√3-√2)/(√3-√2)]

=> [(√3-√2)(√3-√2)]×[(√3+√2)(√3-√2)]

=> (√3-√2)²/[(√3+√2)(√3-√2)]

=> (√3-√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3-√2)²/(3-2)

=> (√3-√2)²/1

=> (√3-√2)²

=> (√3)²-2(√3)(√2)+(√2)²

Since , (a-b)² = a²-2ab+b²

Where , a = √3 and b = √2

=> 3-2√6+2

=> 5-2√6

Hence, the denominator is rationalised.

<h2><u>Answer</u><u>:</u></h2>

Rationalised form of (√3-√2)/(√3+√2) is 5 - 2√6.

<h2><u>U</u><u>sed </u><u>formulae:</u><u>-</u></h2>
  • (a+b)(a-b) = a²-b²
  • (a-b)² = a²-2ab+b²
  • The Rationalising factor of √3+√2 is √3-√2
4 0
3 years ago
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