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Murrr4er [49]
3 years ago
14

1/7 x X =1 X x 1/11=1 1 divided by 1/5=

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

  1. x = 7
  2. x = 11
  3. 5

Step-by-step explanation:

\frac{1}{7}  \times x = 1

7 \times  \frac{1}{7} x = 7 \times 1

7 \times  \frac{1}{7} x = 7

\boxed{\green{x = 7}}

◇◇•◇◇

x \times  \frac{1}{11}  = 1

\frac{1}{11} x  = 1

11 \times  \frac{1}{11} x = 11 \times 1

11 \times  \frac{1}{11} x = 11

\boxed{\green{x = 11}}

♤♤•♤♤

1 \div  \frac{1}{5}  = 1 \times  \frac{5}{1}

1 \times 5

\boxed{\green{= 5}}

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Answer:

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Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

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<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

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