Question

7. Simplify:) 5√32× 5√ 243​

Answer 1

Step-by-step explanation:

Hey friend,

Here is the answer you were looking for:

\begin{gathered}5 \sqrt{32} \times 5 \sqrt{243} \\ \\ = 5 \sqrt{2 \times 2 \times 2 \times 2 \times 2} \times 5 \sqrt{3 \times 3 \times 3 \times 3 \times 3} \\ \\ = 5 \times 2 \times 2 \sqrt{2} \times 5 \times 3 \times 3 \sqrt{3} \\ \\ = 20 \sqrt{2} \times 45 \sqrt{3} \\ \\ = 20 \times 45 \times \sqrt{2} \times \sqrt{3} \\ \\ = 900 \sqrt{6}\end{gathered}

5

32

×5

243

=5

2×2×2×2×2

×5

3×3×3×3×3

=5×2×2

2

×5×3×3

3

=20

2

×45

3

=20×45×

2

×

3

=900

6