Roots and Irrational Numbers Unit Test 1 of 151 of 15 Items Question Add 510−−√ + 10−−√.(1 point) Responses 620−−√ 6 Start Root 20 End Root 60−−√ Start Root 60 End Root 25−−√ Start Root 25 End Root 610−−√
The correct answer is 620−−√.
To solve the given problem of adding √51 + √10, we need to simplify the expression.
Step 1: Determine the rational numbers closest to the given irrational numbers (√51 and √10).
- The square root of 51 is approximately 7.141
- The square root of 10 is approximately 3.162
Step 2: Add the rational numbers found in Step 1.
- 7.141 + 3.162 = 10.303
Step 3: Round the sum to the nearest tenth (one decimal place).
- 10.303 rounded to the nearest tenth is 10.3
Therefore, the simplified answer to the question is 10.3.
To simplify the expression, we can add the two square roots together.
√510 + √10
We cannot simplify these square roots further because they are not like terms.
Therefore, the final answer is:
√510 + √10