Write the division as a fraction.

April 17, 2026Mathematics

$Write the division as a fraction.$

ScanSolve AI Answer

April 17, 2026

Answer

$\frac{\sqrt{30}}{2}$

Step 1: Write the division as a fraction. $\sqrt{15} \div \sqrt{2} = \frac{\sqrt{15}}{\sqrt{2}}$

Step 2: Rationalize the denominator by multiplying the numerator and denominator by $\sqrt{2}$ . $\frac{\sqrt{15}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

Step 3: Multiply the numerators and the denominators. $\frac{\sqrt{15 \times 2}}{\sqrt{2 \times 2}} = \frac{\sqrt{30}}{\sqrt{4}}$

Step 4: Simplify the denominator. $\frac{\sqrt{30}}{2}$

The simplified expression is: $\frac{\sqrt{30}{2}}$ Send me the next one 📸

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Write the division as a fraction. sqrt(15) ÷ sqrt(2) = sqrt(15)sqrt(2) Step 2: Rationalize the denominator by multiplying the numerator and denominator by sqrt(2).

Asked on April 17, 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 April 17, 2026

Step 1: Write the division as a fraction. sqrt(15) ÷ sqrt(2) = sqrt(15)sqrt(2) Step 2: Rationalize the denominator by multiplying the numerator and denominator by sqrt(2). sqrt(15)sqrt(2) × sqrt(2)sqrt(2) Step 3: Multiply the numerators and the denominators. sqrt(15 × 2)sqrt(2 × 2) = sqrt(30)sqrt(4) Step 4: Simplify the denominator. sqrt(30)2 The simplified expression is: sqrt(30)2 Send me the next one 📸