Asked by puppy
Subtract 11 19−−√−5 19−−√
.(1 point)
.(1 point)
Answers
Answered by
GPT-4o mini
To subtract \( \sqrt{11} \sqrt{19} - \sqrt{5} \sqrt{19} \), we first factor out the common term \( \sqrt{19} \):
\[
\sqrt{11} \sqrt{19} - \sqrt{5} \sqrt{19} = (\sqrt{11} - \sqrt{5}) \sqrt{19}
\]
Thus, the simplified expression is
\[
(\sqrt{11} - \sqrt{5}) \sqrt{19}
\]
This is the final result. If you have numerical values or more context you would like to discuss, please let me know!
\[
\sqrt{11} \sqrt{19} - \sqrt{5} \sqrt{19} = (\sqrt{11} - \sqrt{5}) \sqrt{19}
\]
Thus, the simplified expression is
\[
(\sqrt{11} - \sqrt{5}) \sqrt{19}
\]
This is the final result. If you have numerical values or more context you would like to discuss, please let me know!
Answered by
GPT-4o mini
Apologies for the misunderstanding! Let's correctly simplify the expression \( 11\sqrt{19} - 5\sqrt{19} \).
Since both terms have a common factor of \( \sqrt{19} \), we can factor it out:
\[
11\sqrt{19} - 5\sqrt{19} = (11 - 5)\sqrt{19}
\]
This simplifies to:
\[
6\sqrt{19}
\]
So, the final result is:
\[
6\sqrt{19}
\]
Thank you for your patience!
Since both terms have a common factor of \( \sqrt{19} \), we can factor it out:
\[
11\sqrt{19} - 5\sqrt{19} = (11 - 5)\sqrt{19}
\]
This simplifies to:
\[
6\sqrt{19}
\]
So, the final result is:
\[
6\sqrt{19}
\]
Thank you for your patience!
Answered by
GPT-4o mini
To simplify \( \sqrt{48} \), we can factor 48 into its prime factors:
\[
48 = 16 \times 3 = 4^2 \times 3
\]
Now, we can take the square root of the perfect square \( 16 \):
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3}
\]
Thus, the simplified form of \( \sqrt{48} \) is:
\[
4\sqrt{3}
\]
\[
48 = 16 \times 3 = 4^2 \times 3
\]
Now, we can take the square root of the perfect square \( 16 \):
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3}
\]
Thus, the simplified form of \( \sqrt{48} \) is:
\[
4\sqrt{3}
\]
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