Find rationalising factors of the denominator ½ root 3
Answers
Answer:
√2/2 is the correct answer
Step-by-step explanation:
Given:Find rationalising factors of the denominator 1 by 2 root 3
To find: Rationalization factor
Solution:
The number is
\begin{gathered} \frac{1}{2 \sqrt{3} } \\ \\ \end{gathered}
2
3
1
Here denominator is 2√3,so rationalization factor is also 2√3.
Rationalization of number:
\begin{gathered} \frac{1}{2 \sqrt{3} } = \frac{1}{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{2 \sqrt{3} } \\ \\ \frac{1}{2 \sqrt{3} } = \frac{2 \sqrt{3} }{4( \sqrt{3}) ^{2} } \\ \\ \frac{1}{2 \sqrt{3} } = \frac{2 \sqrt{3} }{4 \times 3} \\ \\\bold{ \frac{1}{2 \sqrt{3} } = \frac{ \sqrt{3} }{6} } \\ \\ \end{gathered}
2
3
1
=
2
3
1
×
2
3
2
3
2
3
1
=
4(
3
)
2
2
3
2
3
1
=
4×3
2
3
2
3
1
=
6
3
Hope it helps you.
To learn more on brainly:
1)rationalize the denominator : 1/√2+√3
2)rationalise the denominator of 1 upon 2 + root 3