Question

Someone help me please

Answer 1

Answer:    x = √24

or That is $\sqrt{4*6} =2\sqrt{6}$

Step-by-step explanation:

$\sqrt{10^{2} } =10$   $\sqrt{14^{2} } =14$

$a^{2} +b^{2} =c^{2}$

10 + 14 = 24 .That is $c^{2}$

Take the square root of 24 to get √24 .    That is $\sqrt{4*6} =2\sqrt{6}$

Answer 2

Answer:

$x=2\sqrt{6}$

Step-by-step explanation:

Use the Pythagorean theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. Insert the values:

$\sqrt{10}^2+\sqrt{14}^2=x^2$

Simplify exponents using the rule $\sqrt{x}^2=x$ :

$10+14=x^2$

Simplify addition:

$24=x^2\\x^2=24$

Find the square root:

$\sqrt{x^2}=\sqrt{24}\\ x=\sqrt{24}$

Simplify in radical form: Find a common factor of 24 that is a perfect square:

$\sqrt{24}=\sqrt{4*6}$

Separate:

$\sqrt{4}*\sqrt{6}$

Simplify:

$2*\sqrt{6}\\x=2\sqrt{6}$

Finito.