Question

Find the next number in the series: $\sqrt{2} \sqrt{8} \sqrt{18} \sqrt{32 }$

Answer 1

The next term will be √50.

EXPLANATION=

1. The first term of the series is √2.
2. the second term is √8 = √(2×2×2)=2√2.
3. the third term in the sequence is √18=√(3×2×3)=3√2.
4. the fourth term is √32=√(2×2×2×2×2)= 4√2.
5. hence following the above pattern the next term will be 5√2= √(25×2)=√50.