Question

Simplify:( 20√21)*(-8√8) your answer in radical form

Answer 1

Radical form :

• When a product containing irrational numbers cannot be simplified further, it is said to be in radical form.

Given :

• The product $(20\sqrt{21})*(-8\sqrt{8})$

To find :

• Radical form of the product

Solution :

• We must know that,
• $\sqrt{8}=\sqrt{2\times 2\times 2}=2\sqrt{2}$

• Now $(20\sqrt{21})*(-8\sqrt{8})$
• $=-20\sqrt{21}*8\sqrt{8}$
• $=-20*8*\sqrt{21}*\sqrt{8}$
• $=-160*\sqrt{21}*2\sqrt{2}$
• $=-160*2*\sqrt{21}*\sqrt{2}$
• $=-320\sqrt{42}$

Answer :

$(20\sqrt{21})*(-8\sqrt{8})=-320\sqrt{42}$