Multiplying Radicals?

Question

1: sqrt (2) multiply (6)

2: sqrt (3x) multiply (6)

3: sqrt (5) multiply (5)

4: sqrt (y^5) multiply (y^3)

5: sqrt (x) multiply (x)

6: sqrt (2a^2b) multiply (4a^2)

7: sqrt 2(10) multiply (6)

8: sqrt x(10x) multiply 7(15x)

9: sqrt (14) multiply (21)

10: sqrt (15x) multiply (21x)

Answer 1

Hi,

1: sqrt (2) multiply (6)

√2√6 = √12 = √(4*3) = 2√3 <==ANSWER

2: sqrt (3x) multiply (6)

√3x√6 = √18x = √9*2x = 3√2x  <==ANSWER

3: sqrt (5) multiply (5)

√5√5 = √25 = 5 <==ANSWER

4: sqrt (y^5) multiply (y^3)

√y^5*√y^3 = √y^8 = y^4 <==ANSWER

5: sqrt (x) multiply (x)

√x*√x = √x² = x <==ANSWER

6: sqrt (2a^2b) multiply (4a^2)

√2a²b*√4a² = √8a^4b = √4a^4*2b = 2a²√2b <==ANSWER

7: sqrt 2(10) multiply (6)

2√10*√6 = 2√60 = 2√4*15 = 4√15 <==ANSWER

8: sqrt x(10x) multiply 7(15x)

x√10x*7√15x = 7x√150x² = 7x√25x²*6 = 35x²√6 <==ANSWER

9: sqrt (14) multiply (21)

√14*√21 = √294 = √49*6 = 7√6 <==ANSWER

10: sqrt (15x) multiply (21x)

√15x*√21x = √315x² = √9x².*.35 = 3x√35 <==ANSWER

I hope that helps!! :-)