Step-5

Title: Multiplication of surds

Grade: 9-a Lesson: S3-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

Simplify:
\$ (5sqrt(7))/2 × (8sqrt(14))/3 × (6sqrt(28))/4 \$

2

Hint

Take multiples of '\$14,28\$'

\$ (5sqrt(7))/2 × (8sqrt(2×7))/3 × (6sqrt(4×7))/4 \$

3

Step

Take separate surds

\$ (5sqrt(7))/2 × (8sqrt(2)×sqrt(7))/3 × (6sqrt(4)×sqrt(7))/4 \$

4

Step

After Multiplication

\$ (5× 8× 6 × sqrt(7) × sqrt(2)×sqrt(7) × sqrt(4)×sqrt(7))/24 \$

5

Step

After simplification

\$ (5× \cancel48^2 × 7 × sqrt(2) × 2 ×sqrt(7))/\cancel24^1 \$

6

Step

After Multiplication

\$ 140sqrt(14) \$

7

Answer

B


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