Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Measuring and Constructing Segments
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Exercise 40 Page 394

Add the terms inside the radical. Can you simplify the result?

sqrt(34)

Practice makes perfect
To simplify the given expression, let's begin by adding the terms inside the radical.

sqrt(25+9) ⇔ sqrt(34) Since 34 is not a perfect square, we cannot calculate its root precisely. However, we can try to rewrite it as a product of numbers such that at least one of them is a perfect square. To do so, let's find all positive divisors of 34.

Divisor Quotient
1 34/1=34
2 34/2 = 17
17 34/17 = 2
34 34/34 = 1

We can see that none of the divisors, other than 1, is a perfect square. Therefore, this square root cannot be simplified.