Question

Pls only do number 13. WILL give brainliest answer

Answer 1

Answer:

13)

Exact solutions: $\pm \sqrt{7}$

Approximate solutions: $\pm 2.6$

12)

2 is closer to 1.9881 than to 2.0164, so $\sqrt{2}\approx$ 1.41 .

The number line dot should be closer to 1.4 .

Step-by-step explanation:

13) Let $a$ be real positive or zero number.

$x^2=a$ implies $x=\pm \sqrt{a}$.

You are asked to solve $x^2=7$.

The solution is $x=\pm \sqrt{7}$.

Put into calculator to get what $\sqrt{7}$ is approximately.

$\sqrt{7}\approx 2.6$

So the approximate solutions to $x^2=7$ is $\pm 2.6$.

Basically the inverse operation of squared is square root.

12)

$1.41^2=1.9881$ by calculator.

$1.42^2=2.0164$ by calculator.

$1.43^2=2.0449$ by calculator.

We need to figure out which of the outputs above is closer to 2.

$|2-1.9881|=0.0119$

$|2-2.0164|=0.0164$

$|2-2.0449|=0.0449$

So 2 is closer to 1.9881 which means $\sqrt{2}$ would be closer to $1.41$.

So anyways let's fill the blanks.

2 is closer to 1.9881 than to 2.0164, so $\sqrt{2}\approx$ 1.41 .