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Home » To rationalize the denominator, multiply the numerator and denominator by \(\sqrt3\): - Network4

To rationalize the denominator, multiply the numerator and denominator by \(\sqrt3\): - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Add 1 to include both endpoints:

📌 Therefore, the number of lattice points on the line segment is:

📌 What is the sum of all the even divisors of 60?

📌 First, find the prime factorization of 60:

📌 = 2^2 \times 3^1 \times 5^1

📌 The divisors of 60 are of the form \( 2^a \cdot 3^b \cdot 5^c \) where \( 0 \leq a \leq 2 \), \( 0 \leq b \leq 1 \), \( 0 \leq c \leq 1 \).

📌 To find the sum of even divisors, note that an even divisor must include at least one factor of 2, so \( a \geq 1 \). Thus:

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