To solve the expression [tex]\( \sqrt{50} \times 3 \sqrt{2} \)[/tex], we can break it down into several steps:
1. Calculate [tex]\( \sqrt{50} \)[/tex]:
[tex]\( \sqrt{50} \approx 7.071 \)[/tex]
2. Calculate [tex]\( \sqrt{2} \)[/tex]:
[tex]\( \sqrt{2} \approx 1.414 \)[/tex]
3. Multiply [tex]\( \sqrt{2} \)[/tex] by 3:
[tex]\( 3 \times \sqrt{2} = 3 \times 1.414 \approx 4.243 \)[/tex]
4. Multiply the results of step 1 and step 3:
[tex]\( \sqrt{50} \times (3 \sqrt{2}) = 7.071 \times 4.243 \approx 30 \)[/tex]
Hence, the answer is 30.
