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jarptica [38.1K]2 years ago

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What’s one plus one equals to waht

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Hi, How are you??? I am good

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If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers

seraphim [82]

Answer:

a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

$\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}$

<h2>Simplify it in steps:</h2>

Bring both fractions into common denominator:

$\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}$

Simplify:

$\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =$

$\dfrac{4\sqrt{14} }{7-4} =$

$\dfrac{4}{3} \sqrt{14} }$

Compare the result with given expression to get:

a = 4/3 and b = 0

4 0

1 year ago

Enter a positive common favor (other than 1) of the fractions numerator and denominator

Romashka [77]

Answer:

Step-by-step explanation:

You can divide both 14 and 21 by seven and get a whole number.

6 0

2 years ago

Read 2 more answers

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number

lina2011 [118]

We take each number as x = 2x 3x 4x
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
=∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
=the three numbers are 14,21,28

4 0

2 years ago

Each day for 12 consecutive days, Ricardo jogged for 1 2/3 hours at an average rate of 6 1/4 miles per hour. Find the total dist

kirill115 [55]

Answer:

Your answer is $125$ miles

Step-by-step explanation:

$1$ $\frac{2}{3}$ × $6 \frac{1}{4}$ = $10 \frac{5}{12}$

$10 \frac{5}{12}$ × $12$ = $125$

8 0

2 years ago

13. Writing in Math Write three different improper fractions that equal 4 2/3

nikklg [1K]

14/3 28/6 42/9 all these fractions are improper and equivalent to 4 2/3 when simplified

6 0

3 years ago