Math, asked by loosebekku2, 1 year ago

Simplify 5/√8 +1/√3 how to solve this question

Answers

Answered by Anonymous
4
Heya mate !!!!!

Here's your answer =>=>

Refer to the attached file ^^^^

Hope it will help you ☆▪☆

Thanks ^_^
Attachments:
Answered by jaanvikumari17
0

Step-by-step explanation:

Step-by-step explanation:

\begin{gathered} \frac{5}{ \sqrt{8} } + \frac{1}{ \sqrt{3} } \\ \end{gathered}

8

5

+

3

1

Rationalizing the denominator we get:

\begin{gathered} = \frac{5}{ \sqrt{2 \times {2}^{2} } } \times \frac{ \sqrt{2 \times {2}^{2} } }{ \sqrt{2 \times {2}^{2} } } + \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{5 \times 2 \sqrt{2} }{8} + \frac{ \sqrt{3} }{3} \\ \\ = \frac{10 \sqrt{2} }{8} + \frac{ \sqrt{3} }{3} \\ \\ = \frac{10 \sqrt{2} \times 3 + \sqrt{3} \times 8 }{24} \\ \\ = \bf \frac{30 \sqrt{2} + 8 \sqrt{3} }{24} \end{gathered}

=

2×2

2

5

×

2×2

2

2×2

2

+

3

1

×

3

3

=

8

5×2

2

+

3

3

=

8

10

2

+

3

3

=

24

10

2

×3+

3

×8

=

24

30

2

+8

3

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