How do you simplify sqrt35divsqrt7?

Jun 13, 2018

$\sqrt{5}$

Explanation:

$\sqrt{35} \div i \mathrm{de} \sqrt{7}$

In fraction form, you can factor out the square root (This is intuitive if you think about how $\sqrt{x}$ is the same as ${x}^{\frac{1}{2}}$)

$\sqrt{\frac{35}{7}}$

Then dividing numerator and denominator by 7

$\sqrt{\frac{5}{1}}$ = $\sqrt{5}$

Jun 13, 2018

$\sqrt{5}$
$\text{using the "color(blue)"law of exponents}$
•color(white)(x)sqrta/sqrtbhArrsqrt(a/b)
$\frac{\sqrt{35}}{\sqrt{7}} = \sqrt{\frac{35}{7}} = \sqrt{5}$