What is the square root of 80?

Lennie Davis
2021-12-14
Answered

What is the square root of 80?

You can still ask an expert for help

Elois Puryear

Answered 2021-12-15
Author has **30** answers

By the properties of square roots:

$\sqrt{80}=\sqrt{4\times 20}$

$=\sqrt{4\times 4\times 5}$

$=4\sqrt{5}$

An approximate decimal answer is 8.944.

An approximate decimal answer is 8.944.

recoronarrv

Answered 2021-12-16
Author has **20** answers

Given:

$\sqrt{80}$

Prime factorize 80.

$\sqrt{2\times 2\times 2\times 2\times 5}$

Group the same prime factors in pairs.

$\sqrt{(2\times 2)\times (2\times 2)\times 5}$

Rewrite each pair in exponent form.

$\sqrt{{2}^{2}\times {2}^{2}\times 5}$

Apply rule:$\sqrt{{a}^{2}}=a$

$2\times 2\sqrt{5}$

$4\sqrt{5}$

Prime factorize 80.

Group the same prime factors in pairs.

Rewrite each pair in exponent form.

Apply rule:

asked 2022-06-15

How to solve this equation for $y$? and is it an irrational number or a rational?

$\frac{2}{7}{\pi}^{2}\mathrm{log}2+\frac{16}{7}{\int}_{0}^{\frac{\pi}{2}}x\mathrm{log}(\mathrm{sin}x)\phantom{\rule{thinmathspace}{0ex}}\mathrm{d}x-\sqrt{y}{\pi}^{3}=0.$

$\frac{2}{7}{\pi}^{2}\mathrm{log}2+\frac{16}{7}{\int}_{0}^{\frac{\pi}{2}}x\mathrm{log}(\mathrm{sin}x)\phantom{\rule{thinmathspace}{0ex}}\mathrm{d}x-\sqrt{y}{\pi}^{3}=0.$

asked 2021-12-17

What is the square root of 24?

asked 2022-06-15

Is ${b}^{{a}^{1/n}}$ an irrational number?

asked 2022-06-26

Suppose that a sequence of (rational) fractions $p/q$ converge to an irrational number $r$. Show that $q$ converges to infinity.

asked 2022-06-19

If ${c}^{2}=12$, then show that c is an irrational number.

asked 2022-05-15

Prove that there is an irrational number between any two unequal rational numbers a,b.

asked 2022-05-22

What is the consequence of raising a number to the power of irrational number?

Ex: ${2}^{\pi},{5}^{\sqrt{2}}$,${2}^{\pi},{5}^{\sqrt{2}}$

Ex: ${2}^{\pi},{5}^{\sqrt{2}}$,${2}^{\pi},{5}^{\sqrt{2}}$