## GoldRush18 4 years ago without the use of tables or a calculator, simplify

1. GoldRush18

$\sqrt{28 + \sqrt{343}}$ in the form ksqrt7 where k is an integer

2. jim_thompson5910

Is it supposed to be $\sqrt{28} + \sqrt{343}$ instead?

3. anonymous

$\sqrt{7*4+\sqrt{7^{3}}}$

4. GoldRush18

@jim_thompson5910 yes i couldnt get it like that

5. jim_thompson5910

alright thank you

6. jim_thompson5910

$\Large \sqrt{28} + \sqrt{343}$ $\Large \sqrt{4*7} + \sqrt{49*7}$ $\Large \sqrt{4}*\sqrt{7} + \sqrt{49}*\sqrt{7}$ $\Large 2*\sqrt{7} + 7*\sqrt{7}$ $\Large (2 + 7)*\sqrt{7}$ $\Large 9\sqrt{7}$ So the answer is $\Large 9\sqrt{7}$

7. anonymous

$9\sqrt{7}$

8. GoldRush18

thank you

9. jim_thompson5910

you're welcome

10. anonymous

you're welcome