3√5 * √2 Please help me with proper explanation
Answers
Answer:
square root asks you which number, when multiplied by itself, gives the result after the √ symbol. So √9 = 3 and √16 = 4. Every root technically has a positive and a negative answer, but in most cases the positive answer is the one you’ll be interested in.
You can factor square roots just like ordinary numbers, so √ab = √a √b, or √6 = √2√3.
Step-by-step explanation:
cube root of 5 * square root of 2
Simplify cube root of 5 * square root of 2
Rewrite the expression using the least common index of 6.
six root of 5^2*six root of 2^3
Combine using the product rule for radicals.
six root of 5^2*2^3
Raise 5 to the power of 2.
six root of 25*2^3
Raise 2 to the power of 3.
six root of 25*8
Multiply 25 by 8.
six root of 200
The result can be shown in multiple forms.
Exact Form:
six root of 200
Decimal Form:
2.41827117....