Question

Solve the following irrational number and prove that the answer is a rational or an irrational number:-

i) √125+√20+√45
ii) √64+√100-√256

• Wrong or inappropriate answers will be reported and the account responsible for spamming will also be deleted. So, beware of spamming.

• Correct answers with explanation will be marked as brainliest.

Thank you,
PritishKantiDatta
​

Answer 1

Answer:

I) Rational Number

ii) Rational Number

Step-by-step explanation:

i)

$\sqrt{125} + \sqrt{20} + \sqrt{45} = \sqrt{5 \times 5 \times 5} + \sqrt{5 \times 4} + \sqrt{5 \times 3 \times 3 } = 5 \sqrt{5} + 2 \sqrt{5} + 3 \sqrt{5} = 10 \sqrt{5}$

ii)

$\sqrt{64} + \sqrt{100} - \sqrt{256} = 8 + 10 - 16 = 2$

Answer 2

Answer:

i)

√125+√20+√45

√(5×5×5)+√(5×2×2)+√(5×3×3)

5√5+2√5+3√5

=10√5

=√(5×10×10)

=√500

therefore it's irrational

ii)

√64+√100-√256

√(2×2×2×2×2×2)+10-√(2×2×2×2×2×2×2×2)

2×2×2+10-2×2×2×2

=8+10-16

=18-16

=2

therefore it's rational

hope it helps