Question

calcule 5 raiz quadrada de 8 menos 2 raiz quadrada de18 mais 1 sobre 2 raiz quadrada de 200

Answer 1

5√8 - 2√18 + 1/2√200
5√8=5√2×2²=5×2√2=10√2
2√18=2√2×3²=2×3√2=6√2
1/2√200 multiplica e divide por √200 = √200/2×200 = √200/400
=√2×10²/400=10√2/400=√2/40

10√2 - 6√2 +√2/40 multiplica e divide os dois primeiros termos por 40

=40×10√2/40 - 40×6√2/40 +√2/40
=400√2/40 - 240√2/40 + √2/40 = (400√2 - 240√2 +√2 )/40
=161√2/40
√2≈1,414          161√2/40 = 161×1,414/40=227,65/40=5,69