Evaluate the expression sqrt(3) + 5sqrt(5) to 3 decimal places.

May 15, 2026Mathematics

ScanSolve AI Answer

May 15, 2026

Answer

12.912

Step 1: Recall the simplified expression from the previous step. The simplified expression is $\sqrt{3} + 5\sqrt{5}$ .

Step 2: Evaluate the approximate numerical values of $\sqrt{3}$ and $\sqrt{5}$ . $\sqrt{3} \approx 1.732$ $\sqrt{5} \approx 2.236$

Step 3: Substitute these approximate values into the expression and calculate. $\sqrt{3} + 5\sqrt{5} \approx 1.732 + 5 \times 2.236$ $\approx 1.732 + 11.180$ $\approx 12.912$

The approximate evaluated value is: $12.912$ What's next?

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Quick Answer

The simplified expression is sqrt(3) + 5sqrt(5).
sqrt(3) ≈ 1.732 sqrt(5) ≈ 2.236 Step 3: Substitute these approximate values into the expression and calculate.
sqrt(3) + 5sqrt(5) ≈ 1.732 + 5 × 2.236 ≈ 1.732 + 11.180 ≈ 12.912 The approximate evaluated value is: 12.912 What's next?.

Asked on May 15, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 15, 2026

Step 1: Recall the simplified expression from the previous step. The simplified expression is sqrt(3) + 5sqrt(5). Step 2: Evaluate the approximate numerical values of sqrt(3) and sqrt(5). sqrt(3) ≈ 1.732 sqrt(5) ≈ 2.236 Step 3: Substitute these approximate values into the expression and calculate. sqrt(3) + 5sqrt(5) ≈ 1.732 + 5 × 2.236 ≈ 1.732 + 11.180 ≈ 12.912 The approximate evaluated value is: 12.912 What's next?