Question

Someone help me please

Answer 1

Answer: x = √24

or That is
`√(4*6) =2√(6)`

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
`√(4*6) =2√(6)`

Answer 2

`x=2√(6)`

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:

`√(10)^2+√(14)^2=x^2`

Simplify exponents using the rule
`√(x)^2=x` :

`10+14=x^2`

Simplify addition:

`24=x^2\\x^2=24`

Find the square root:

`√(x^2)=√(24)\\ x=√(24)`

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

`√(24)=√(4*6)`

Separate:

`√(4)*√(6)`

Simplify:

`2*√(6)\\x=2√(6)`

Finito.