We read your photo as:

हल करो (i) 3sqrt(5)+2sqrt(5) (ii) 7sqrt(3)-4sqrt(3) (iii) (sqrt(2))2+(3sqrt(3))2 (iv) 23 imes 24 (v) (5)/(7) (vii) (32)4

Mathematics

ScanSolve AI Answer

Step-by-step solution

16 steps

Here are the solutions to the problems:

Q1: हल करो (Solve)

i)

  1. Combine the like terms.

    35+25=(3+2)53\sqrt{5} + 2\sqrt{5} = (3+2)\sqrt{5}
  2. Add the coefficients.

    (3+2)5=55(3+2)\sqrt{5} = 5\sqrt{5}

    The answer is 55\boxed{5\sqrt{5}}.

    ii)

  3. Combine the like terms.

    73−43=(7−4)37\sqrt{3} - 4\sqrt{3} = (7-4)\sqrt{3}
  4. Subtract the coefficients.

    (7−4)3=33(7-4)\sqrt{3} = 3\sqrt{3}

    The answer is 33\boxed{3\sqrt{3}}.

    iii)

  5. Evaluate each squared term.

    (2)2=2(\sqrt{2})^2 = 2 (33)2=32×(3)2=9×3=27(3\sqrt{3})^2 = 3^2 \times (\sqrt{3})^2 = 9 \times 3 = 27
  6. Add the results.

    2+27=292 + 27 = 29

    The answer is 29\boxed{29}.

    iv)

  7. Use the exponent rule am×an=am+na^m \times a^n = a^{m+n}.

    23×24=23+42^3 \times 2^4 = 2^{3+4}
  8. Simplify the exponent and calculate the value.

    23+4=27=1282^{3+4} = 2^7 = 128

    The answer is 128\boxed{128}.

    v)

  9. Use the exponent rule aman=am−n\frac{a^m}{a^n} = a^{m-n}.

    5752=57−2\frac{5^7}{5^2} = 5^{7-2}
  10. Simplify the exponent and calculate the value.

    57−2=55=31255^{7-2} = 5^5 = 3125

    The answer is 3125\boxed{3125}.

    vi)

  11. Use the exponent rule (am)n=am×n(a^m)^n = a^{m \times n}.

    (32)4=32×4(3^2)^4 = 3^{2 \times 4}
  12. Simplify the exponent and calculate the value.

    32×4=38=65613^{2 \times 4} = 3^8 = 6561

    The answer is 6561\boxed{6561}.

    Q2: जोड़िए (Add)

    i)

  13. Find a common denominator for 3 and 10, which is 30.

    23=2×103×10=2030\frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30} 310=3×310×3=930\frac{3}{10} = \frac{3 \times 3}{10 \times 3} = \frac{9}{30}
  14. Add the fractions.

    2030+930=20+930=2930\frac{20}{30} + \frac{9}{30} = \frac{20+9}{30} = \frac{29}{30}

    The answer is 2930\boxed{\frac{29}{30}}.

    iii)

  15. Find a common denominator for 2 and 8, which is 8.

    72=7×42×4=288\frac{7}{2} = \frac{7 \times 4}{2 \times 4} = \frac{28}{8}
  16. Add the fractions.

    288+58=28+58=338\frac{28}{8} + \frac{5}{8} = \frac{28+5}{8} = \frac{33}{8}

    The answer is 338\boxed{\frac{33}{8}}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp