Question

Please answer the above question.Annd Please don't spam.If you know the answer then only you answer.​

Answer 1

Answer:

$1.)root72+root48= 6 \sqrt{2} + 4 \sqrt{3} \\ = 6 \times 1.414 + 4 \times 1.732 \\ = 8.49 + 6.93 \\ = 15.42(approx) \\ \\ \\ \\ 2.) \sqrt{125} \div \sqrt{64} \\ = 5 \sqrt{5} \div 8 \\ = 11.1803398875 \div 8 \\ =3.95(approx.)$

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Answer 2

Given :

• $\sf \sqrt{2} = 1.414$

• $\sf \sqrt{5} = 2.236$

• $\sf \sqrt{3} = 1.732$

To Find :

1) $\sf \: \sqrt{72} + \sqrt{48}$

2) $\sqrt{ \dfrac{125}{64} }$

Solution :

$\sf \: 1) \: \sqrt{72} + \sqrt{48}$

$\sf \longrightarrow \: \sqrt{72} = \sqrt{2 \times 2 \times 2\times 3 \times 3}$

$\sf \longrightarrow \: \sqrt{72} = 3 \times 2 \sqrt{2}$

$\sf \longrightarrow \: \sqrt{72} = 6 \sqrt{2}$

Given √2 = 1.414

$\sf \longrightarrow \: \sqrt{72} = 6 (1.414) = \boxed{ \sf 8.484}$

Now,

$\sf \longrightarrow \: \sqrt{48} = \sqrt{2 \times 2 \times 2\times 2\times 3}$

$\sf \longrightarrow \: \sqrt{48} = 2 \times 2\sqrt{3}$

$\sf \longrightarrow \: \sqrt{48} = 4\sqrt{3}$

Given √3 = 1.732

$\sf \longrightarrow \: \sqrt{48} = 4(1.732) = \boxed{ \sf6.928}$

Now, √72 + √48

$\sf \longrightarrow \: \sqrt{72} + \sqrt{48}$

$\sf \longrightarrow \: 8.484 + 6.928$

$\sf \longrightarrow \large\boxed{ \purple{ \sf \: 15.412}}$

________________________________

$\sf \: 2) \: \: \sqrt{ \dfrac{125}{64} }$

$\sf \longrightarrow \: \sqrt{125} = \sqrt{5 \times 5 \times5 }$

$\sf \longrightarrow \: \sqrt{125} = 5 \sqrt{5}$

Given √5 = 2.236

$\sf \longrightarrow \: \sqrt{125} = 5 (2.236) = \boxed{ \sf \: 11.18}$

Now,

$\sf \longrightarrow \: \sqrt{64} = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 }$

$\sf \longrightarrow \: \sqrt{64} = 2 \times 2 \times 2$

$\sf \longrightarrow \: \sqrt{64} = \boxed{ \sf \: 8}$

Now, √125/64 :

$\sf \longrightarrow \: \: \sqrt{ \dfrac{125}{64} }$

$\sf \longrightarrow \cancel\dfrac{11.18}{8}$

$\sf \longrightarrow \large\boxed{ \purple{ \sf \:1.3975}}$

Hence,

$\sf \dag \: \: \sqrt{72} + \sqrt{48} = 15.412$

$\dag \sf \: \sqrt{ \dfrac{125}{64} } = 1.3975$