(b)What is the simplified form of each expression? (4 points) i. \( \sqrt{169} \) ii. \( \sqrt{\frac{25}{100}} \)
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Mind Expander
Did you know that the square root of a perfect square is simply the number that was squared? In your first expression, \( \sqrt{169} = 13 \) because \( 13 \times 13 = 169 \). Perfect squares pop up all the time, from geometry to algebra! And for your second expression, \( \sqrt{\frac{25}{100}} \), you can break it down further! First, notice that \( \sqrt{25} = 5 \) and \( \sqrt{100} = 10 \). So, \( \sqrt{\frac{25}{100}} = \frac{5}{10} = \frac{1}{2} \). It’s like making a delicious smoothie by combining simple ingredients!
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