Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
To simplify the expression [tex]\(\sqrt{45}\)[/tex]:
1. First, we identify the factors of 45:
[tex]\[ 45 = 9 \times 5 \][/tex]
2. Next, we use the property of square roots that states [tex]\(\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}\)[/tex]:
[tex]\[ \sqrt{45} = \sqrt{9 \times 5} \][/tex]
3. We know that 9 is a perfect square, and [tex]\(\sqrt{9} = 3\)[/tex]:
[tex]\[ \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} \][/tex]
4. Substituting the value of [tex]\(\sqrt{9}\)[/tex]:
[tex]\[ \sqrt{9} \times \sqrt{5} = 3 \times \sqrt{5} \][/tex]
Therefore, the simplified expression is:
[tex]\[ \sqrt{45} = 3 \times \sqrt{5} \][/tex]
1. First, we identify the factors of 45:
[tex]\[ 45 = 9 \times 5 \][/tex]
2. Next, we use the property of square roots that states [tex]\(\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}\)[/tex]:
[tex]\[ \sqrt{45} = \sqrt{9 \times 5} \][/tex]
3. We know that 9 is a perfect square, and [tex]\(\sqrt{9} = 3\)[/tex]:
[tex]\[ \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} \][/tex]
4. Substituting the value of [tex]\(\sqrt{9}\)[/tex]:
[tex]\[ \sqrt{9} \times \sqrt{5} = 3 \times \sqrt{5} \][/tex]
Therefore, the simplified expression is:
[tex]\[ \sqrt{45} = 3 \times \sqrt{5} \][/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.