Find the sum of the irrational numbers - 3 - -2 and 5 - -2

From the given identity, 3 √(2) + 5 + √(2) Thus the answer is 8 . ...

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Standard VIII

Mathematics

Closure Property of Rational Numbers

Find the sum ...

Question

Find the sum of the irrational numbers : $3 - \sqrt{2}$ and $5 + \sqrt{2}$

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Solution

From the given identity, $3 - \sqrt{2} + 5 + \sqrt{2}$
Thus the answer is $8$ .

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Similar questions

State true or false:

There can be a pair of irrational numbers whose sum is irrational such as

\sqrt{3} + 2

and

5 + \sqrt{2}

Q. Find

3

irrational numbers between

\frac{3}{8}

and

\frac{2}{5}

Q. There can be a pair of irrational numbers whose sum is rational

Such as:

3 - \sqrt{2}

and

5 + \sqrt{2}

Q. If

\frac{3 + \sqrt{5}}{2 \sqrt{5} + 3} = a + b \sqrt{5}

, then find the values of irrational numbers a and b.

(a) Find ten rational number between - $\frac{2}{5}$ and $\frac{1}{2}$ .

(b) Insert 5 rational numbers and 2 irrational numbers between $\sqrt{2}$ and $\sqrt{3}$ .

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Find the sum of the irrational numbers : 3−√2 and 5+√2

From the given identity, 3−√2+5+√2Thus the answer is 8.

Find the sum of the irrational numbers : $3 - \sqrt{2}$ and $5 + \sqrt{2}$

From the given identity, $3 - \sqrt{2} + 5 + \sqrt{2}$
Thus the answer is $8$ .