Question

Using the laws of indices, simplify the following:-

√h × √h³ =

Answer 1

`\sqrt h\cdot√(h^3)=\\ h^{(1)/(2)}\cdot \left(h^3\right)^{(1)/(2)}=\\ h^{(1)/(2)}\cdot h^{(3)/(2)}=\\ h^{(1)/(2)+(3)/(2)}=\\ h^{(4)/(2)}=\\ h^2`

or other way


`\sqrt h\cdot√(h^3)=\\ √(h^4)=\\ √((h^2)^2)=\\ |h^2|=\\ h^2`