Simplify. Rationalize the denominator.38 + √5

4 answers
Question:

Simplify. Rationalize the denominator.
3
8 + √5

[tex]Simplify. Rationalize the denominator. 3 8 + √5[/tex]


Answers

3(8-[tex]\sqrt{5} }[/tex])

59                   hope this helps plz give me brainlest

Step-by-step explanation:

-3-5[tex]\sqrt{3}[/tex] / 5

Step-by-step explanation

To write [tex]\sqrt{3}[/tex] as a fraction with a common denominator, multiply by 5/5.

-3/5 + [tex]\sqrt{3}[/tex] * 5/5

Then combine fractions, so that the numeratiors over the common denominator.  

-3 + 5 [tex]\sqrt{3}[/tex] /5

Simplify with factoring out.

Rewrite -3 as -1 (3). Next factor -1 out of 5 [tex]\sqrt{3}[/tex]. Then facotr -1 out of -1(3) - (-5[tex]\sqrt{3}[/tex]). After that move teh negative in front of the fraction.

Exact Form: - 3-5[tex]\sqrt{3}[/tex] / 5

Decimal Form: 1.13

[tex]\frac{3}{9-\sqrt{2} } * \frac{9+\sqrt{2}}{9+\sqrt{2}}[/tex]

[tex]\frac{27 + 3\sqrt{2} }{9^{2} - (\sqrt{2})^{2} }[/tex]

[tex]\frac{27 + 3 \sqrt{2} }{81 - 2}[/tex]

[tex]\frac{27 + 3\sqrt{2} }{79}[/tex]

Step-by-step explanation:

To rationalize this, Multiply both numerator and denominator by the conjugate of the denominator

The conjugate of the denominator is 5-√3

9(5-√3)/(5+√3)(5-√3)

=45-9√3/22

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